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Finding the Fourth Proportional to 125.96, 188.80 and 71.13

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Solution

The fourth proportional to 125.96, 188.80 and 71.13 is: 106.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.96 : 188.80 = 71.13 : x
  2. Step 2: Convert to fraction form
    125.96/188.80 = 71.13/x
  3. Step 3: Cross multiply
    125.96x = 188.80 × 71.13
  4. Step 4: Simplify right side
    125.96x = 13,430.14
  5. Step 5: Solve for x
    x = 13,430.14/125.96
  6. Step 6: Final answer
    x = 106.63

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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.