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Finding the Fourth Proportional to 91.46, 126.14 and 58.71

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Solution

The fourth proportional to 91.46, 126.14 and 58.71 is: 80.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.46 : 126.14 = 58.71 : x
  2. Step 2: Convert to fraction form
    91.46/126.14 = 58.71/x
  3. Step 3: Cross multiply
    91.46x = 126.14 × 58.71
  4. Step 4: Simplify right side
    91.46x = 7,405.39
  5. Step 5: Solve for x
    x = 7,405.39/91.46
  6. Step 6: Final answer
    x = 80.97

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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.