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Finding the Fourth Proportional to 123.60, 185.43 and 42.43

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Solution

The fourth proportional to 123.60, 185.43 and 42.43 is: 63.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.60 : 185.43 = 42.43 : x
  2. Step 2: Convert to fraction form
    123.60/185.43 = 42.43/x
  3. Step 3: Cross multiply
    123.60x = 185.43 × 42.43
  4. Step 4: Simplify right side
    123.60x = 7,866.66
  5. Step 5: Solve for x
    x = 7,866.66/123.60
  6. Step 6: Final answer
    x = 63.65

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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.