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Finding the Fourth Proportional to 123.60, 185.42 and 46.55

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Solution

The fourth proportional to 123.60, 185.42 and 46.55 is: 69.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.60 : 185.42 = 46.55 : x
  2. Step 2: Convert to fraction form
    123.60/185.42 = 46.55/x
  3. Step 3: Cross multiply
    123.60x = 185.42 × 46.55
  4. Step 4: Simplify right side
    123.60x = 8,630.14
  5. Step 5: Solve for x
    x = 8,630.14/123.60
  6. Step 6: Final answer
    x = 69.82

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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.