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Finding the Fourth Proportional to 123.68, 185.38 and 55.13

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Solution

The fourth proportional to 123.68, 185.38 and 55.13 is: 82.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.68 : 185.38 = 55.13 : x
  2. Step 2: Convert to fraction form
    123.68/185.38 = 55.13/x
  3. Step 3: Cross multiply
    123.68x = 185.38 × 55.13
  4. Step 4: Simplify right side
    123.68x = 10,218.80
  5. Step 5: Solve for x
    x = 10,218.80/123.68
  6. Step 6: Final answer
    x = 82.62

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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.