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Finding the Fourth Proportional to 83.20, 112.32 and 83.20

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Solution

The fourth proportional to 83.20, 112.32 and 83.20 is: 112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.20 : 112.32 = 83.20 : x
  2. Step 2: Convert to fraction form
    83.20/112.32 = 83.20/x
  3. Step 3: Cross multiply
    83.20x = 112.32 × 83.20
  4. Step 4: Simplify right side
    83.20x = 9,345.02
  5. Step 5: Solve for x
    x = 9,345.02/83.20
  6. Step 6: Final answer
    x = 112.32

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.