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Finding the Fourth Proportional to 160.08, 240.23 and 91.66

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Solution

The fourth proportional to 160.08, 240.23 and 91.66 is: 137.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.08 : 240.23 = 91.66 : x
  2. Step 2: Convert to fraction form
    160.08/240.23 = 91.66/x
  3. Step 3: Cross multiply
    160.08x = 240.23 × 91.66
  4. Step 4: Simplify right side
    160.08x = 22,019.02
  5. Step 5: Solve for x
    x = 22,019.02/160.08
  6. Step 6: Final answer
    x = 137.55

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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.