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Finding the Fourth Proportional to 91.32, 125.71 and 77.48

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Solution

The fourth proportional to 91.32, 125.71 and 77.48 is: 106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.32 : 125.71 = 77.48 : x
  2. Step 2: Convert to fraction form
    91.32/125.71 = 77.48/x
  3. Step 3: Cross multiply
    91.32x = 125.71 × 77.48
  4. Step 4: Simplify right side
    91.32x = 9,740.01
  5. Step 5: Solve for x
    x = 9,740.01/91.32
  6. Step 6: Final answer
    x = 106.66

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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.