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Finding the Fourth Proportional to 123.59, 185.10 and 100.53

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Solution

The fourth proportional to 123.59, 185.10 and 100.53 is: 150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.59 : 185.10 = 100.53 : x
  2. Step 2: Convert to fraction form
    123.59/185.10 = 100.53/x
  3. Step 3: Cross multiply
    123.59x = 185.10 × 100.53
  4. Step 4: Simplify right side
    123.59x = 18,608.10
  5. Step 5: Solve for x
    x = 18,608.10/123.59
  6. Step 6: Final answer
    x = 150.56

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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.