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Finding the Fourth Proportional to 116.39, 160.62 and 69.79

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Solution

The fourth proportional to 116.39, 160.62 and 69.79 is: 96.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.39 : 160.62 = 69.79 : x
  2. Step 2: Convert to fraction form
    116.39/160.62 = 69.79/x
  3. Step 3: Cross multiply
    116.39x = 160.62 × 69.79
  4. Step 4: Simplify right side
    116.39x = 11,209.67
  5. Step 5: Solve for x
    x = 11,209.67/116.39
  6. Step 6: Final answer
    x = 96.31

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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.