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Finding the Fourth Proportional to 82.57, 113.85 and 65.02

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Solution

The fourth proportional to 82.57, 113.85 and 65.02 is: 89.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.57 : 113.85 = 65.02 : x
  2. Step 2: Convert to fraction form
    82.57/113.85 = 65.02/x
  3. Step 3: Cross multiply
    82.57x = 113.85 × 65.02
  4. Step 4: Simplify right side
    82.57x = 7,402.53
  5. Step 5: Solve for x
    x = 7,402.53/82.57
  6. Step 6: Final answer
    x = 89.65

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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.