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Finding the Fourth Proportional to 91.62, 126.41 and 54.27

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Solution

The fourth proportional to 91.62, 126.41 and 54.27 is: 74.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.62 : 126.41 = 54.27 : x
  2. Step 2: Convert to fraction form
    91.62/126.41 = 54.27/x
  3. Step 3: Cross multiply
    91.62x = 126.41 × 54.27
  4. Step 4: Simplify right side
    91.62x = 6,860.41
  5. Step 5: Solve for x
    x = 6,860.41/91.62
  6. Step 6: Final answer
    x = 74.88

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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.