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Finding the Fourth Proportional to 116.68, 161.20 and 89.12

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Solution

The fourth proportional to 116.68, 161.20 and 89.12 is: 123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.68 : 161.20 = 89.12 : x
  2. Step 2: Convert to fraction form
    116.68/161.20 = 89.12/x
  3. Step 3: Cross multiply
    116.68x = 161.20 × 89.12
  4. Step 4: Simplify right side
    116.68x = 14,366.14
  5. Step 5: Solve for x
    x = 14,366.14/116.68
  6. Step 6: Final answer
    x = 123.12

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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.