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Finding the Fourth Proportional to 84.43, 116.53 and 49.47

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Solution

The fourth proportional to 84.43, 116.53 and 49.47 is: 68.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.43 : 116.53 = 49.47 : x
  2. Step 2: Convert to fraction form
    84.43/116.53 = 49.47/x
  3. Step 3: Cross multiply
    84.43x = 116.53 × 49.47
  4. Step 4: Simplify right side
    84.43x = 5,763.91
  5. Step 5: Solve for x
    x = 5,763.91/84.43
  6. Step 6: Final answer
    x = 68.27

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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.