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Finding the Fourth Proportional to 91.55, 126.35 and 76.97

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Solution

The fourth proportional to 91.55, 126.35 and 76.97 is: 106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.55 : 126.35 = 76.97 : x
  2. Step 2: Convert to fraction form
    91.55/126.35 = 76.97/x
  3. Step 3: Cross multiply
    91.55x = 126.35 × 76.97
  4. Step 4: Simplify right side
    91.55x = 9,724.14
  5. Step 5: Solve for x
    x = 9,724.14/91.55
  6. Step 6: Final answer
    x = 106.22

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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.