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Finding the Fourth Proportional to 123.11, 184.15 and 101.19

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Solution

The fourth proportional to 123.11, 184.15 and 101.19 is: 151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.11 : 184.15 = 101.19 : x
  2. Step 2: Convert to fraction form
    123.11/184.15 = 101.19/x
  3. Step 3: Cross multiply
    123.11x = 184.15 × 101.19
  4. Step 4: Simplify right side
    123.11x = 18,634.14
  5. Step 5: Solve for x
    x = 18,634.14/123.11
  6. Step 6: Final answer
    x = 151.36

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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.