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Finding the Fourth Proportional to 91.46, 126.34 and 63.81

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Solution

The fourth proportional to 91.46, 126.34 and 63.81 is: 88.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.46 : 126.34 = 63.81 : x
  2. Step 2: Convert to fraction form
    91.46/126.34 = 63.81/x
  3. Step 3: Cross multiply
    91.46x = 126.34 × 63.81
  4. Step 4: Simplify right side
    91.46x = 8,062.07
  5. Step 5: Solve for x
    x = 8,062.07/91.46
  6. Step 6: Final answer
    x = 88.15

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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.