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Finding the Fourth Proportional to 125.80, 173.46 and 102.46

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Solution

The fourth proportional to 125.80, 173.46 and 102.46 is: 141.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.80 : 173.46 = 102.46 : x
  2. Step 2: Convert to fraction form
    125.80/173.46 = 102.46/x
  3. Step 3: Cross multiply
    125.80x = 173.46 × 102.46
  4. Step 4: Simplify right side
    125.80x = 17,772.71
  5. Step 5: Solve for x
    x = 17,772.71/125.80
  6. Step 6: Final answer
    x = 141.28

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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.