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Finding the Fourth Proportional to 111.62, 153.87 and 95.24

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Solution

The fourth proportional to 111.62, 153.87 and 95.24 is: 131.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.62 : 153.87 = 95.24 : x
  2. Step 2: Convert to fraction form
    111.62/153.87 = 95.24/x
  3. Step 3: Cross multiply
    111.62x = 153.87 × 95.24
  4. Step 4: Simplify right side
    111.62x = 14,654.58
  5. Step 5: Solve for x
    x = 14,654.58/111.62
  6. Step 6: Final answer
    x = 131.29

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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.