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Finding the Fourth Proportional to 123.54, 185.23 and 77.86

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Solution

The fourth proportional to 123.54, 185.23 and 77.86 is: 116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.54 : 185.23 = 77.86 : x
  2. Step 2: Convert to fraction form
    123.54/185.23 = 77.86/x
  3. Step 3: Cross multiply
    123.54x = 185.23 × 77.86
  4. Step 4: Simplify right side
    123.54x = 14,422.01
  5. Step 5: Solve for x
    x = 14,422.01/123.54
  6. Step 6: Final answer
    x = 116.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.