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Finding the Fourth Proportional to 123.12, 184.42 and 100.18

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Solution

The fourth proportional to 123.12, 184.42 and 100.18 is: 150.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.12 : 184.42 = 100.18 : x
  2. Step 2: Convert to fraction form
    123.12/184.42 = 100.18/x
  3. Step 3: Cross multiply
    123.12x = 184.42 × 100.18
  4. Step 4: Simplify right side
    123.12x = 18,475.20
  5. Step 5: Solve for x
    x = 18,475.20/123.12
  6. Step 6: Final answer
    x = 150.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.