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Finding the Fourth Proportional to 71.86, 108.07 and 58.36

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Solution

The fourth proportional to 71.86, 108.07 and 58.36 is: 87.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.86 : 108.07 = 58.36 : x
  2. Step 2: Convert to fraction form
    71.86/108.07 = 58.36/x
  3. Step 3: Cross multiply
    71.86x = 108.07 × 58.36
  4. Step 4: Simplify right side
    71.86x = 6,306.97
  5. Step 5: Solve for x
    x = 6,306.97/71.86
  6. Step 6: Final answer
    x = 87.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.