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Finding the Fourth Proportional to 123.82, 185.58 and 95.14

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Solution

The fourth proportional to 123.82, 185.58 and 95.14 is: 142.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.82 : 185.58 = 95.14 : x
  2. Step 2: Convert to fraction form
    123.82/185.58 = 95.14/x
  3. Step 3: Cross multiply
    123.82x = 185.58 × 95.14
  4. Step 4: Simplify right side
    123.82x = 17,656.08
  5. Step 5: Solve for x
    x = 17,656.08/123.82
  6. Step 6: Final answer
    x = 142.59

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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.