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Finding the Fourth Proportional to 123.83, 185.52 and 100.58

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Solution

The fourth proportional to 123.83, 185.52 and 100.58 is: 150.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.83 : 185.52 = 100.58 : x
  2. Step 2: Convert to fraction form
    123.83/185.52 = 100.58/x
  3. Step 3: Cross multiply
    123.83x = 185.52 × 100.58
  4. Step 4: Simplify right side
    123.83x = 18,659.05
  5. Step 5: Solve for x
    x = 18,659.05/123.83
  6. Step 6: Final answer
    x = 150.68

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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.