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Finding the Fourth Proportional to 160.11, 239.94 and 102.24

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Solution

The fourth proportional to 160.11, 239.94 and 102.24 is: 153.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.11 : 239.94 = 102.24 : x
  2. Step 2: Convert to fraction form
    160.11/239.94 = 102.24/x
  3. Step 3: Cross multiply
    160.11x = 239.94 × 102.24
  4. Step 4: Simplify right side
    160.11x = 24,531.47
  5. Step 5: Solve for x
    x = 24,531.47/160.11
  6. Step 6: Final answer
    x = 153.22

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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.