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Finding the Fourth Proportional to 116.39, 160.34 and 97.97

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Solution

The fourth proportional to 116.39, 160.34 and 97.97 is: 134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.39 : 160.34 = 97.97 : x
  2. Step 2: Convert to fraction form
    116.39/160.34 = 97.97/x
  3. Step 3: Cross multiply
    116.39x = 160.34 × 97.97
  4. Step 4: Simplify right side
    116.39x = 15,707.22
  5. Step 5: Solve for x
    x = 15,707.22/116.39
  6. Step 6: Final answer
    x = 134.95

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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.