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Finding the Fourth Proportional to 123.72, 170.68 and 76.48

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Solution

The fourth proportional to 123.72, 170.68 and 76.48 is: 105.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.72 : 170.68 = 76.48 : x
  2. Step 2: Convert to fraction form
    123.72/170.68 = 76.48/x
  3. Step 3: Cross multiply
    123.72x = 170.68 × 76.48
  4. Step 4: Simplify right side
    123.72x = 13,053.61
  5. Step 5: Solve for x
    x = 13,053.61/123.72
  6. Step 6: Final answer
    x = 105.51

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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.