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Finding the Fourth Proportional to 116.29, 160.49 and 69.68

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Solution

The fourth proportional to 116.29, 160.49 and 69.68 is: 96.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.29 : 160.49 = 69.68 : x
  2. Step 2: Convert to fraction form
    116.29/160.49 = 69.68/x
  3. Step 3: Cross multiply
    116.29x = 160.49 × 69.68
  4. Step 4: Simplify right side
    116.29x = 11,182.14
  5. Step 5: Solve for x
    x = 11,182.14/116.29
  6. Step 6: Final answer
    x = 96.16

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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.