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Finding the Fourth Proportional to 123.74, 185.78 and 72.43

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Solution

The fourth proportional to 123.74, 185.78 and 72.43 is: 108.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.74 : 185.78 = 72.43 : x
  2. Step 2: Convert to fraction form
    123.74/185.78 = 72.43/x
  3. Step 3: Cross multiply
    123.74x = 185.78 × 72.43
  4. Step 4: Simplify right side
    123.74x = 13,455.35
  5. Step 5: Solve for x
    x = 13,455.35/123.74
  6. Step 6: Final answer
    x = 108.74

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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.