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Finding the Fourth Proportional to 59.53, 82.15 and 34.97

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Solution

The fourth proportional to 59.53, 82.15 and 34.97 is: 48.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.53 : 82.15 = 34.97 : x
  2. Step 2: Convert to fraction form
    59.53/82.15 = 34.97/x
  3. Step 3: Cross multiply
    59.53x = 82.15 × 34.97
  4. Step 4: Simplify right side
    59.53x = 2,872.79
  5. Step 5: Solve for x
    x = 2,872.79/59.53
  6. Step 6: Final answer
    x = 48.26

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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.