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Finding the Fourth Proportional to 113.67, 156.71 and 82.55

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Solution

The fourth proportional to 113.67, 156.71 and 82.55 is: 113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.67 : 156.71 = 82.55 : x
  2. Step 2: Convert to fraction form
    113.67/156.71 = 82.55/x
  3. Step 3: Cross multiply
    113.67x = 156.71 × 82.55
  4. Step 4: Simplify right side
    113.67x = 12,935.21
  5. Step 5: Solve for x
    x = 12,935.21/113.67
  6. Step 6: Final answer
    x = 113.80

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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.