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Finding the Fourth Proportional to 110.25, 164.43 and 101.16

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Solution

The fourth proportional to 110.25, 164.43 and 101.16 is: 150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.25 : 164.43 = 101.16 : x
  2. Step 2: Convert to fraction form
    110.25/164.43 = 101.16/x
  3. Step 3: Cross multiply
    110.25x = 164.43 × 101.16
  4. Step 4: Simplify right side
    110.25x = 16,633.74
  5. Step 5: Solve for x
    x = 16,633.74/110.25
  6. Step 6: Final answer
    x = 150.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.