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Finding the Fourth Proportional to 63.67, 95.55 and 46.57

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Solution

The fourth proportional to 63.67, 95.55 and 46.57 is: 69.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.67 : 95.55 = 46.57 : x
  2. Step 2: Convert to fraction form
    63.67/95.55 = 46.57/x
  3. Step 3: Cross multiply
    63.67x = 95.55 × 46.57
  4. Step 4: Simplify right side
    63.67x = 4,449.76
  5. Step 5: Solve for x
    x = 4,449.76/63.67
  6. Step 6: Final answer
    x = 69.89

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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.