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Finding the Fourth Proportional to 71.07, 97.97 and 58.71

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Solution

The fourth proportional to 71.07, 97.97 and 58.71 is: 80.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.07 : 97.97 = 58.71 : x
  2. Step 2: Convert to fraction form
    71.07/97.97 = 58.71/x
  3. Step 3: Cross multiply
    71.07x = 97.97 × 58.71
  4. Step 4: Simplify right side
    71.07x = 5,751.82
  5. Step 5: Solve for x
    x = 5,751.82/71.07
  6. Step 6: Final answer
    x = 80.93

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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.