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Finding the Fourth Proportional to 95.23, 131.49 and 74.47

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Solution

The fourth proportional to 95.23, 131.49 and 74.47 is: 102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.23 : 131.49 = 74.47 : x
  2. Step 2: Convert to fraction form
    95.23/131.49 = 74.47/x
  3. Step 3: Cross multiply
    95.23x = 131.49 × 74.47
  4. Step 4: Simplify right side
    95.23x = 9,791.55
  5. Step 5: Solve for x
    x = 9,791.55/95.23
  6. Step 6: Final answer
    x = 102.82

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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.