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Finding the Fourth Proportional to 63.65, 95.45 and 27.59

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Solution

The fourth proportional to 63.65, 95.45 and 27.59 is: 41.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.65 : 95.45 = 27.59 : x
  2. Step 2: Convert to fraction form
    63.65/95.45 = 27.59/x
  3. Step 3: Cross multiply
    63.65x = 95.45 × 27.59
  4. Step 4: Simplify right side
    63.65x = 2,633.06
  5. Step 5: Solve for x
    x = 2,633.06/63.65
  6. Step 6: Final answer
    x = 41.37

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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.