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Finding the Fourth Proportional to 91.32, 126.02 and 76.72

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Solution

The fourth proportional to 91.32, 126.02 and 76.72 is: 105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.32 : 126.02 = 76.72 : x
  2. Step 2: Convert to fraction form
    91.32/126.02 = 76.72/x
  3. Step 3: Cross multiply
    91.32x = 126.02 × 76.72
  4. Step 4: Simplify right side
    91.32x = 9,668.25
  5. Step 5: Solve for x
    x = 9,668.25/91.32
  6. Step 6: Final answer
    x = 105.87

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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.