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Finding the Fourth Proportional to 71.85, 99.12 and 58.06

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Solution

The fourth proportional to 71.85, 99.12 and 58.06 is: 80.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.85 : 99.12 = 58.06 : x
  2. Step 2: Convert to fraction form
    71.85/99.12 = 58.06/x
  3. Step 3: Cross multiply
    71.85x = 99.12 × 58.06
  4. Step 4: Simplify right side
    71.85x = 5,754.91
  5. Step 5: Solve for x
    x = 5,754.91/71.85
  6. Step 6: Final answer
    x = 80.10

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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.