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Finding the Fourth Proportional to 116.28, 160.49 and 69.64

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Solution

The fourth proportional to 116.28, 160.49 and 69.64 is: 96.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.28 : 160.49 = 69.64 : x
  2. Step 2: Convert to fraction form
    116.28/160.49 = 69.64/x
  3. Step 3: Cross multiply
    116.28x = 160.49 × 69.64
  4. Step 4: Simplify right side
    116.28x = 11,176.52
  5. Step 5: Solve for x
    x = 11,176.52/116.28
  6. Step 6: Final answer
    x = 96.12

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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.