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Finding the Fourth Proportional to 82.30, 113.77 and 81.52

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Solution

The fourth proportional to 82.30, 113.77 and 81.52 is: 112.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.30 : 113.77 = 81.52 : x
  2. Step 2: Convert to fraction form
    82.30/113.77 = 81.52/x
  3. Step 3: Cross multiply
    82.30x = 113.77 × 81.52
  4. Step 4: Simplify right side
    82.30x = 9,274.68
  5. Step 5: Solve for x
    x = 9,274.68/82.30
  6. Step 6: Final answer
    x = 112.70

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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.