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Finding the Fourth Proportional to 70.38, 97.02 and 52.02

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Solution

The fourth proportional to 70.38, 97.02 and 52.02 is: 71.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.38 : 97.02 = 52.02 : x
  2. Step 2: Convert to fraction form
    70.38/97.02 = 52.02/x
  3. Step 3: Cross multiply
    70.38x = 97.02 × 52.02
  4. Step 4: Simplify right side
    70.38x = 5,046.98
  5. Step 5: Solve for x
    x = 5,046.98/70.38
  6. Step 6: Final answer
    x = 71.71

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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.