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Finding the Fourth Proportional to 82.56, 113.96 and 65.04

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Solution

The fourth proportional to 82.56, 113.96 and 65.04 is: 89.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.56 : 113.96 = 65.04 : x
  2. Step 2: Convert to fraction form
    82.56/113.96 = 65.04/x
  3. Step 3: Cross multiply
    82.56x = 113.96 × 65.04
  4. Step 4: Simplify right side
    82.56x = 7,411.96
  5. Step 5: Solve for x
    x = 7,411.96/82.56
  6. Step 6: Final answer
    x = 89.78

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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.