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Finding the Fourth Proportional to 123.40, 185.46 and 105.76

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Solution

The fourth proportional to 123.40, 185.46 and 105.76 is: 158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.40 : 185.46 = 105.76 : x
  2. Step 2: Convert to fraction form
    123.40/185.46 = 105.76/x
  3. Step 3: Cross multiply
    123.40x = 185.46 × 105.76
  4. Step 4: Simplify right side
    123.40x = 19,614.25
  5. Step 5: Solve for x
    x = 19,614.25/123.40
  6. Step 6: Final answer
    x = 158.95

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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.