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Finding the Fourth Proportional to 63.57, 87.66 and 43.84

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Solution

The fourth proportional to 63.57, 87.66 and 43.84 is: 60.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.57 : 87.66 = 43.84 : x
  2. Step 2: Convert to fraction form
    63.57/87.66 = 43.84/x
  3. Step 3: Cross multiply
    63.57x = 87.66 × 43.84
  4. Step 4: Simplify right side
    63.57x = 3,843.01
  5. Step 5: Solve for x
    x = 3,843.01/63.57
  6. Step 6: Final answer
    x = 60.45

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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.