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Finding the Fourth Proportional to 71.08, 97.86 and 59.38

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Solution

The fourth proportional to 71.08, 97.86 and 59.38 is: 81.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.08 : 97.86 = 59.38 : x
  2. Step 2: Convert to fraction form
    71.08/97.86 = 59.38/x
  3. Step 3: Cross multiply
    71.08x = 97.86 × 59.38
  4. Step 4: Simplify right side
    71.08x = 5,810.93
  5. Step 5: Solve for x
    x = 5,810.93/71.08
  6. Step 6: Final answer
    x = 81.75

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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.