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Finding the Fourth Proportional to 213.48, 320.24 and 91.72

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Solution

The fourth proportional to 213.48, 320.24 and 91.72 is: 137.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.48 : 320.24 = 91.72 : x
  2. Step 2: Convert to fraction form
    213.48/320.24 = 91.72/x
  3. Step 3: Cross multiply
    213.48x = 320.24 × 91.72
  4. Step 4: Simplify right side
    213.48x = 29,371.95
  5. Step 5: Solve for x
    x = 29,371.95/213.48
  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.