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Finding the Fourth Proportional to 70.52, 97.38 and 64.76

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Solution

The fourth proportional to 70.52, 97.38 and 64.76 is: 89.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.52 : 97.38 = 64.76 : x
  2. Step 2: Convert to fraction form
    70.52/97.38 = 64.76/x
  3. Step 3: Cross multiply
    70.52x = 97.38 × 64.76
  4. Step 4: Simplify right side
    70.52x = 6,306.33
  5. Step 5: Solve for x
    x = 6,306.33/70.52
  6. Step 6: Final answer
    x = 89.43

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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.