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Finding the Fourth Proportional to 123.14, 184.42 and 77.40

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Solution

The fourth proportional to 123.14, 184.42 and 77.40 is: 115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.14 : 184.42 = 77.40 : x
  2. Step 2: Convert to fraction form
    123.14/184.42 = 77.40/x
  3. Step 3: Cross multiply
    123.14x = 184.42 × 77.40
  4. Step 4: Simplify right side
    123.14x = 14,274.11
  5. Step 5: Solve for x
    x = 14,274.11/123.14
  6. Step 6: Final answer
    x = 115.92

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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.