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Finding the Fourth Proportional to 82.53, 113.89 and 47.57

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Solution

The fourth proportional to 82.53, 113.89 and 47.57 is: 65.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.53 : 113.89 = 47.57 : x
  2. Step 2: Convert to fraction form
    82.53/113.89 = 47.57/x
  3. Step 3: Cross multiply
    82.53x = 113.89 × 47.57
  4. Step 4: Simplify right side
    82.53x = 5,417.75
  5. Step 5: Solve for x
    x = 5,417.75/82.53
  6. Step 6: Final answer
    x = 65.65

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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.