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Finding the Fourth Proportional to 82.55, 113.96 and 63.84

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Solution

The fourth proportional to 82.55, 113.96 and 63.84 is: 88.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.55 : 113.96 = 63.84 : x
  2. Step 2: Convert to fraction form
    82.55/113.96 = 63.84/x
  3. Step 3: Cross multiply
    82.55x = 113.96 × 63.84
  4. Step 4: Simplify right side
    82.55x = 7,275.21
  5. Step 5: Solve for x
    x = 7,275.21/82.55
  6. Step 6: Final answer
    x = 88.13

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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.