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Finding the Fourth Proportional to 213.42, 320.05 and 91.65

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Solution

The fourth proportional to 213.42, 320.05 and 91.65 is: 137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.42 : 320.05 = 91.65 : x
  2. Step 2: Convert to fraction form
    213.42/320.05 = 91.65/x
  3. Step 3: Cross multiply
    213.42x = 320.05 × 91.65
  4. Step 4: Simplify right side
    213.42x = 29,332.58
  5. Step 5: Solve for x
    x = 29,332.58/213.42
  6. Step 6: Final answer
    x = 137.44

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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.