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Finding the Fourth Proportional to 123.92, 184.96 and 115

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Solution

The fourth proportional to 123.92, 184.96 and 115 is: 171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.92 : 184.96 = 115 : x
  2. Step 2: Convert to fraction form
    123.92/184.96 = 115/x
  3. Step 3: Cross multiply
    123.92x = 184.96 × 115
  4. Step 4: Simplify right side
    123.92x = 21,270.40
  5. Step 5: Solve for x
    x = 21,270.40/123.92
  6. Step 6: Final answer
    x = 171.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.