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Finding the Fourth Proportional to 116.75, 161.12 and 65

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Solution

The fourth proportional to 116.75, 161.12 and 65 is: 89.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.75 : 161.12 = 65 : x
  2. Step 2: Convert to fraction form
    116.75/161.12 = 65/x
  3. Step 3: Cross multiply
    116.75x = 161.12 × 65
  4. Step 4: Simplify right side
    116.75x = 10,472.48
  5. Step 5: Solve for x
    x = 10,472.48/116.75
  6. Step 6: Final answer
    x = 89.70

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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.