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Finding the Fourth Proportional to 106.96, 160.08 and 64

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Solution

The fourth proportional to 106.96, 160.08 and 64 is: 95.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.96 : 160.08 = 64 : x
  2. Step 2: Convert to fraction form
    106.96/160.08 = 64/x
  3. Step 3: Cross multiply
    106.96x = 160.08 × 64
  4. Step 4: Simplify right side
    106.96x = 10,245.12
  5. Step 5: Solve for x
    x = 10,245.12/106.96
  6. Step 6: Final answer
    x = 95.78

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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.