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Finding the Fourth Proportional to 91.53, 126.31 and 54.68

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Solution

The fourth proportional to 91.53, 126.31 and 54.68 is: 75.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.53 : 126.31 = 54.68 : x
  2. Step 2: Convert to fraction form
    91.53/126.31 = 54.68/x
  3. Step 3: Cross multiply
    91.53x = 126.31 × 54.68
  4. Step 4: Simplify right side
    91.53x = 6,905.97
  5. Step 5: Solve for x
    x = 6,905.97/91.53
  6. Step 6: Final answer
    x = 75.45

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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.