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Finding the Fourth Proportional to 160.26, 240.42 and 52.07

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Solution

The fourth proportional to 160.26, 240.42 and 52.07 is: 78.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.26 : 240.42 = 52.07 : x
  2. Step 2: Convert to fraction form
    160.26/240.42 = 52.07/x
  3. Step 3: Cross multiply
    160.26x = 240.42 × 52.07
  4. Step 4: Simplify right side
    160.26x = 12,517.47
  5. Step 5: Solve for x
    x = 12,517.47/160.26
  6. Step 6: Final answer
    x = 78.11

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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.