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Finding the Fourth Proportional to 123.96, 171.03 and 74.83

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Solution

The fourth proportional to 123.96, 171.03 and 74.83 is: 103.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.96 : 171.03 = 74.83 : x
  2. Step 2: Convert to fraction form
    123.96/171.03 = 74.83/x
  3. Step 3: Cross multiply
    123.96x = 171.03 × 74.83
  4. Step 4: Simplify right side
    123.96x = 12,798.17
  5. Step 5: Solve for x
    x = 12,798.17/123.96
  6. Step 6: Final answer
    x = 103.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.