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Finding the Fourth Proportional to 160.26, 240.36 and 91.74

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Solution

The fourth proportional to 160.26, 240.36 and 91.74 is: 137.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.26 : 240.36 = 91.74 : x
  2. Step 2: Convert to fraction form
    160.26/240.36 = 91.74/x
  3. Step 3: Cross multiply
    160.26x = 240.36 × 91.74
  4. Step 4: Simplify right side
    160.26x = 22,050.63
  5. Step 5: Solve for x
    x = 22,050.63/160.26
  6. Step 6: Final answer
    x = 137.59

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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.