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Finding the Fourth Proportional to 106.49, 160.22 and 96.66

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Solution

The fourth proportional to 106.49, 160.22 and 96.66 is: 145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.49 : 160.22 = 96.66 : x
  2. Step 2: Convert to fraction form
    106.49/160.22 = 96.66/x
  3. Step 3: Cross multiply
    106.49x = 160.22 × 96.66
  4. Step 4: Simplify right side
    106.49x = 15,487.11
  5. Step 5: Solve for x
    x = 15,487.11/106.49
  6. Step 6: Final answer
    x = 145.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.