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Finding the Fourth Proportional to 91.43, 126.05 and 58.62

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Solution

The fourth proportional to 91.43, 126.05 and 58.62 is: 80.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.43 : 126.05 = 58.62 : x
  2. Step 2: Convert to fraction form
    91.43/126.05 = 58.62/x
  3. Step 3: Cross multiply
    91.43x = 126.05 × 58.62
  4. Step 4: Simplify right side
    91.43x = 7,389.05
  5. Step 5: Solve for x
    x = 7,389.05/91.43
  6. Step 6: Final answer
    x = 80.82

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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.