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Finding the Fourth Proportional to 123.16, 169.92 and 79.48

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Solution

The fourth proportional to 123.16, 169.92 and 79.48 is: 109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.16 : 169.92 = 79.48 : x
  2. Step 2: Convert to fraction form
    123.16/169.92 = 79.48/x
  3. Step 3: Cross multiply
    123.16x = 169.92 × 79.48
  4. Step 4: Simplify right side
    123.16x = 13,505.24
  5. Step 5: Solve for x
    x = 13,505.24/123.16
  6. Step 6: Final answer
    x = 109.66

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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.