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Finding the Fourth Proportional to 92.08, 137.97 and 88.66

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Solution

The fourth proportional to 92.08, 137.97 and 88.66 is: 132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.08 : 137.97 = 88.66 : x
  2. Step 2: Convert to fraction form
    92.08/137.97 = 88.66/x
  3. Step 3: Cross multiply
    92.08x = 137.97 × 88.66
  4. Step 4: Simplify right side
    92.08x = 12,232.43
  5. Step 5: Solve for x
    x = 12,232.43/92.08
  6. Step 6: Final answer
    x = 132.85

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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.