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Finding the Fourth Proportional to 125.97, 188.75 and 102.71

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Solution

The fourth proportional to 125.97, 188.75 and 102.71 is: 153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.97 : 188.75 = 102.71 : x
  2. Step 2: Convert to fraction form
    125.97/188.75 = 102.71/x
  3. Step 3: Cross multiply
    125.97x = 188.75 × 102.71
  4. Step 4: Simplify right side
    125.97x = 19,386.00
  5. Step 5: Solve for x
    x = 19,386.00/125.97
  6. Step 6: Final answer
    x = 153.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.