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Finding the Fourth Proportional to 83.32, 114.97 and 48.82

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Solution

The fourth proportional to 83.32, 114.97 and 48.82 is: 67.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.32 : 114.97 = 48.82 : x
  2. Step 2: Convert to fraction form
    83.32/114.97 = 48.82/x
  3. Step 3: Cross multiply
    83.32x = 114.97 × 48.82
  4. Step 4: Simplify right side
    83.32x = 5,612.26
  5. Step 5: Solve for x
    x = 5,612.26/83.32
  6. Step 6: Final answer
    x = 67.36

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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.