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Finding the Fourth Proportional to 110.60, 164.57 and 110.24

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Solution

The fourth proportional to 110.60, 164.57 and 110.24 is: 164.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.60 : 164.57 = 110.24 : x
  2. Step 2: Convert to fraction form
    110.60/164.57 = 110.24/x
  3. Step 3: Cross multiply
    110.60x = 164.57 × 110.24
  4. Step 4: Simplify right side
    110.60x = 18,142.20
  5. Step 5: Solve for x
    x = 18,142.20/110.60
  6. Step 6: Final answer
    x = 164.03

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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.