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Finding the Fourth Proportional to 70.97, 97.52 and 61.79

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Solution

The fourth proportional to 70.97, 97.52 and 61.79 is: 84.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.97 : 97.52 = 61.79 : x
  2. Step 2: Convert to fraction form
    70.97/97.52 = 61.79/x
  3. Step 3: Cross multiply
    70.97x = 97.52 × 61.79
  4. Step 4: Simplify right side
    70.97x = 6,024.96
  5. Step 5: Solve for x
    x = 6,024.96/70.97
  6. Step 6: Final answer
    x = 84.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.