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Finding the Fourth Proportional to 123.42, 184.89 and 69.15

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Solution

The fourth proportional to 123.42, 184.89 and 69.15 is: 103.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.42 : 184.89 = 69.15 : x
  2. Step 2: Convert to fraction form
    123.42/184.89 = 69.15/x
  3. Step 3: Cross multiply
    123.42x = 184.89 × 69.15
  4. Step 4: Simplify right side
    123.42x = 12,785.14
  5. Step 5: Solve for x
    x = 12,785.14/123.42
  6. Step 6: Final answer
    x = 103.59

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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.