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Finding the Fourth Proportional to 123.32, 185 and 51.18

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Solution

The fourth proportional to 123.32, 185 and 51.18 is: 76.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.32 : 185 = 51.18 : x
  2. Step 2: Convert to fraction form
    123.32/185 = 51.18/x
  3. Step 3: Cross multiply
    123.32x = 185 × 51.18
  4. Step 4: Simplify right side
    123.32x = 9,468.30
  5. Step 5: Solve for x
    x = 9,468.30/123.32
  6. Step 6: Final answer
    x = 76.78

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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.