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Finding the Fourth Proportional to 63.83, 87.90 and 53.98

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Solution

The fourth proportional to 63.83, 87.90 and 53.98 is: 74.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.83 : 87.90 = 53.98 : x
  2. Step 2: Convert to fraction form
    63.83/87.90 = 53.98/x
  3. Step 3: Cross multiply
    63.83x = 87.90 × 53.98
  4. Step 4: Simplify right side
    63.83x = 4,744.72
  5. Step 5: Solve for x
    x = 4,744.72/63.83
  6. Step 6: Final answer
    x = 74.33

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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.