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Finding the Fourth Proportional to 123.60, 185.04 and 100.80

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Solution

The fourth proportional to 123.60, 185.04 and 100.80 is: 150.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.60 : 185.04 = 100.80 : x
  2. Step 2: Convert to fraction form
    123.60/185.04 = 100.80/x
  3. Step 3: Cross multiply
    123.60x = 185.04 × 100.80
  4. Step 4: Simplify right side
    123.60x = 18,652.03
  5. Step 5: Solve for x
    x = 18,652.03/123.60
  6. Step 6: Final answer
    x = 150.91

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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.