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Finding the Fourth Proportional to 71.89, 99.07 and 58.57

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Solution

The fourth proportional to 71.89, 99.07 and 58.57 is: 80.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.89 : 99.07 = 58.57 : x
  2. Step 2: Convert to fraction form
    71.89/99.07 = 58.57/x
  3. Step 3: Cross multiply
    71.89x = 99.07 × 58.57
  4. Step 4: Simplify right side
    71.89x = 5,802.53
  5. Step 5: Solve for x
    x = 5,802.53/71.89
  6. Step 6: Final answer
    x = 80.71

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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.