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Finding the Fourth Proportional to 123.54, 184.76 and 100.86

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Solution

The fourth proportional to 123.54, 184.76 and 100.86 is: 150.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.54 : 184.76 = 100.86 : x
  2. Step 2: Convert to fraction form
    123.54/184.76 = 100.86/x
  3. Step 3: Cross multiply
    123.54x = 184.76 × 100.86
  4. Step 4: Simplify right side
    123.54x = 18,634.89
  5. Step 5: Solve for x
    x = 18,634.89/123.54
  6. Step 6: Final answer
    x = 150.84

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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.