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Finding the Fourth Proportional to 123.02, 169.80 and 76.42

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Solution

The fourth proportional to 123.02, 169.80 and 76.42 is: 105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.02 : 169.80 = 76.42 : x
  2. Step 2: Convert to fraction form
    123.02/169.80 = 76.42/x
  3. Step 3: Cross multiply
    123.02x = 169.80 × 76.42
  4. Step 4: Simplify right side
    123.02x = 12,976.12
  5. Step 5: Solve for x
    x = 12,976.12/123.02
  6. Step 6: Final answer
    x = 105.48

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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.