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Finding the Fourth Proportional to 106.74, 160.83 and 97.92

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Solution

The fourth proportional to 106.74, 160.83 and 97.92 is: 147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.74 : 160.83 = 97.92 : x
  2. Step 2: Convert to fraction form
    106.74/160.83 = 97.92/x
  3. Step 3: Cross multiply
    106.74x = 160.83 × 97.92
  4. Step 4: Simplify right side
    106.74x = 15,748.47
  5. Step 5: Solve for x
    x = 15,748.47/106.74
  6. Step 6: Final answer
    x = 147.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.