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Finding the Fourth Proportional to 123.66, 185.46 and 74.88

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Solution

The fourth proportional to 123.66, 185.46 and 74.88 is: 112.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.66 : 185.46 = 74.88 : x
  2. Step 2: Convert to fraction form
    123.66/185.46 = 74.88/x
  3. Step 3: Cross multiply
    123.66x = 185.46 × 74.88
  4. Step 4: Simplify right side
    123.66x = 13,887.24
  5. Step 5: Solve for x
    x = 13,887.24/123.66
  6. Step 6: Final answer
    x = 112.30

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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.