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Finding the Fourth Proportional to 91.45, 137.17 and 30.65

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Solution

The fourth proportional to 91.45, 137.17 and 30.65 is: 45.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.45 : 137.17 = 30.65 : x
  2. Step 2: Convert to fraction form
    91.45/137.17 = 30.65/x
  3. Step 3: Cross multiply
    91.45x = 137.17 × 30.65
  4. Step 4: Simplify right side
    91.45x = 4,203.99
  5. Step 5: Solve for x
    x = 4,203.99/91.45
  6. Step 6: Final answer
    x = 45.97

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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.