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Finding the Fourth Proportional to 63.59, 87.75 and 45.90

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Solution

The fourth proportional to 63.59, 87.75 and 45.90 is: 63.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.59 : 87.75 = 45.90 : x
  2. Step 2: Convert to fraction form
    63.59/87.75 = 45.90/x
  3. Step 3: Cross multiply
    63.59x = 87.75 × 45.90
  4. Step 4: Simplify right side
    63.59x = 4,027.73
  5. Step 5: Solve for x
    x = 4,027.73/63.59
  6. Step 6: Final answer
    x = 63.34

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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.