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Finding the Fourth Proportional to 70.52, 97.24 and 47.20

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Solution

The fourth proportional to 70.52, 97.24 and 47.20 is: 65.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.52 : 97.24 = 47.20 : x
  2. Step 2: Convert to fraction form
    70.52/97.24 = 47.20/x
  3. Step 3: Cross multiply
    70.52x = 97.24 × 47.20
  4. Step 4: Simplify right side
    70.52x = 4,589.73
  5. Step 5: Solve for x
    x = 4,589.73/70.52
  6. Step 6: Final answer
    x = 65.08

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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.