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Finding the Fourth Proportional to 71, 97.97 and 53.52

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Solution

The fourth proportional to 71, 97.97 and 53.52 is: 73.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71 : 97.97 = 53.52 : x
  2. Step 2: Convert to fraction form
    71/97.97 = 53.52/x
  3. Step 3: Cross multiply
    71x = 97.97 × 53.52
  4. Step 4: Simplify right side
    71x = 5,243.35
  5. Step 5: Solve for x
    x = 5,243.35/71
  6. Step 6: Final answer
    x = 73.85

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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.