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Finding the Fourth Proportional to 63.47, 95.09 and 46.32

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Solution

The fourth proportional to 63.47, 95.09 and 46.32 is: 69.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.47 : 95.09 = 46.32 : x
  2. Step 2: Convert to fraction form
    63.47/95.09 = 46.32/x
  3. Step 3: Cross multiply
    63.47x = 95.09 × 46.32
  4. Step 4: Simplify right side
    63.47x = 4,404.34
  5. Step 5: Solve for x
    x = 4,404.34/63.47
  6. Step 6: Final answer
    x = 69.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.