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Finding the Fourth Proportional to 63.49, 95.31 and 46.48

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Solution

The fourth proportional to 63.49, 95.31 and 46.48 is: 69.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.49 : 95.31 = 46.48 : x
  2. Step 2: Convert to fraction form
    63.49/95.31 = 46.48/x
  3. Step 3: Cross multiply
    63.49x = 95.31 × 46.48
  4. Step 4: Simplify right side
    63.49x = 4,429.77
  5. Step 5: Solve for x
    x = 4,429.77/63.49
  6. Step 6: Final answer
    x = 69.77

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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.