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Finding the Fourth Proportional to 160.09, 240.33 and 106.09

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Solution

The fourth proportional to 160.09, 240.33 and 106.09 is: 159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.09 : 240.33 = 106.09 : x
  2. Step 2: Convert to fraction form
    160.09/240.33 = 106.09/x
  3. Step 3: Cross multiply
    160.09x = 240.33 × 106.09
  4. Step 4: Simplify right side
    160.09x = 25,496.61
  5. Step 5: Solve for x
    x = 25,496.61/160.09
  6. Step 6: Final answer
    x = 159.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.