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Finding the Fourth Proportional to 123.06, 184.38 and 86.92

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Solution

The fourth proportional to 123.06, 184.38 and 86.92 is: 130.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.06 : 184.38 = 86.92 : x
  2. Step 2: Convert to fraction form
    123.06/184.38 = 86.92/x
  3. Step 3: Cross multiply
    123.06x = 184.38 × 86.92
  4. Step 4: Simplify right side
    123.06x = 16,026.31
  5. Step 5: Solve for x
    x = 16,026.31/123.06
  6. Step 6: Final answer
    x = 130.23

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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.