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Finding the Fourth Proportional to 70.62, 97.62 and 59.70

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Solution

The fourth proportional to 70.62, 97.62 and 59.70 is: 82.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.62 : 97.62 = 59.70 : x
  2. Step 2: Convert to fraction form
    70.62/97.62 = 59.70/x
  3. Step 3: Cross multiply
    70.62x = 97.62 × 59.70
  4. Step 4: Simplify right side
    70.62x = 5,827.91
  5. Step 5: Solve for x
    x = 5,827.91/70.62
  6. Step 6: Final answer
    x = 82.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.