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Finding the Fourth Proportional to 125.52, 172.80 and 102.21

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Solution

The fourth proportional to 125.52, 172.80 and 102.21 is: 140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.52 : 172.80 = 102.21 : x
  2. Step 2: Convert to fraction form
    125.52/172.80 = 102.21/x
  3. Step 3: Cross multiply
    125.52x = 172.80 × 102.21
  4. Step 4: Simplify right side
    125.52x = 17,661.89
  5. Step 5: Solve for x
    x = 17,661.89/125.52
  6. Step 6: Final answer
    x = 140.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.