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Finding the Fourth Proportional to 63.75, 87.98 and 53.87

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Solution

The fourth proportional to 63.75, 87.98 and 53.87 is: 74.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.75 : 87.98 = 53.87 : x
  2. Step 2: Convert to fraction form
    63.75/87.98 = 53.87/x
  3. Step 3: Cross multiply
    63.75x = 87.98 × 53.87
  4. Step 4: Simplify right side
    63.75x = 4,739.43
  5. Step 5: Solve for x
    x = 4,739.43/63.75
  6. Step 6: Final answer
    x = 74.34

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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.