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Finding the Fourth Proportional to 116.52, 159.84 and 109.54

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Solution

The fourth proportional to 116.52, 159.84 and 109.54 is: 150.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.52 : 159.84 = 109.54 : x
  2. Step 2: Convert to fraction form
    116.52/159.84 = 109.54/x
  3. Step 3: Cross multiply
    116.52x = 159.84 × 109.54
  4. Step 4: Simplify right side
    116.52x = 17,508.17
  5. Step 5: Solve for x
    x = 17,508.17/116.52
  6. Step 6: Final answer
    x = 150.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.