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Finding the Fourth Proportional to 63.20, 87.19 and 46.56

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Solution

The fourth proportional to 63.20, 87.19 and 46.56 is: 64.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.20 : 87.19 = 46.56 : x
  2. Step 2: Convert to fraction form
    63.20/87.19 = 46.56/x
  3. Step 3: Cross multiply
    63.20x = 87.19 × 46.56
  4. Step 4: Simplify right side
    63.20x = 4,059.12
  5. Step 5: Solve for x
    x = 4,059.12/63.20
  6. Step 6: Final answer
    x = 64.23

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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.