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Finding the Fourth Proportional to 123.13, 184.81 and 77.56

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Solution

The fourth proportional to 123.13, 184.81 and 77.56 is: 116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.13 : 184.81 = 77.56 : x
  2. Step 2: Convert to fraction form
    123.13/184.81 = 77.56/x
  3. Step 3: Cross multiply
    123.13x = 184.81 × 77.56
  4. Step 4: Simplify right side
    123.13x = 14,333.86
  5. Step 5: Solve for x
    x = 14,333.86/123.13
  6. Step 6: Final answer
    x = 116.41

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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.