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Finding the Fourth Proportional to 116.91, 161.41 and 89.42

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Solution

The fourth proportional to 116.91, 161.41 and 89.42 is: 123.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.91 : 161.41 = 89.42 : x
  2. Step 2: Convert to fraction form
    116.91/161.41 = 89.42/x
  3. Step 3: Cross multiply
    116.91x = 161.41 × 89.42
  4. Step 4: Simplify right side
    116.91x = 14,433.28
  5. Step 5: Solve for x
    x = 14,433.28/116.91
  6. Step 6: Final answer
    x = 123.46

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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.