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Finding the Fourth Proportional to 116.88, 161.31 and 109.56

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Solution

The fourth proportional to 116.88, 161.31 and 109.56 is: 151.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.88 : 161.31 = 109.56 : x
  2. Step 2: Convert to fraction form
    116.88/161.31 = 109.56/x
  3. Step 3: Cross multiply
    116.88x = 161.31 × 109.56
  4. Step 4: Simplify right side
    116.88x = 17,673.12
  5. Step 5: Solve for x
    x = 17,673.12/116.88
  6. Step 6: Final answer
    x = 151.21

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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.