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Finding the Fourth Proportional to 110.16, 164.10 and 107.76

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Solution

The fourth proportional to 110.16, 164.10 and 107.76 is: 160.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.16 : 164.10 = 107.76 : x
  2. Step 2: Convert to fraction form
    110.16/164.10 = 107.76/x
  3. Step 3: Cross multiply
    110.16x = 164.10 × 107.76
  4. Step 4: Simplify right side
    110.16x = 17,683.42
  5. Step 5: Solve for x
    x = 17,683.42/110.16
  6. Step 6: Final answer
    x = 160.52

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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.