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Finding the Fourth Proportional to 63.83, 88.17 and 45.50

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Solution

The fourth proportional to 63.83, 88.17 and 45.50 is: 62.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.83 : 88.17 = 45.50 : x
  2. Step 2: Convert to fraction form
    63.83/88.17 = 45.50/x
  3. Step 3: Cross multiply
    63.83x = 88.17 × 45.50
  4. Step 4: Simplify right side
    63.83x = 4,011.74
  5. Step 5: Solve for x
    x = 4,011.74/63.83
  6. Step 6: Final answer
    x = 62.85

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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.