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Finding the Fourth Proportional to 91.47, 126.12 and 63.78

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Solution

The fourth proportional to 91.47, 126.12 and 63.78 is: 87.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.47 : 126.12 = 63.78 : x
  2. Step 2: Convert to fraction form
    91.47/126.12 = 63.78/x
  3. Step 3: Cross multiply
    91.47x = 126.12 × 63.78
  4. Step 4: Simplify right side
    91.47x = 8,043.93
  5. Step 5: Solve for x
    x = 8,043.93/91.47
  6. Step 6: Final answer
    x = 87.94

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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.