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Finding the Fourth Proportional to 106.52, 160.40 and 93.83

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Solution

The fourth proportional to 106.52, 160.40 and 93.83 is: 141.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.52 : 160.40 = 93.83 : x
  2. Step 2: Convert to fraction form
    106.52/160.40 = 93.83/x
  3. Step 3: Cross multiply
    106.52x = 160.40 × 93.83
  4. Step 4: Simplify right side
    106.52x = 15,049.24
  5. Step 5: Solve for x
    x = 15,049.24/106.52
  6. Step 6: Final answer
    x = 141.29

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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.