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Finding the Fourth Proportional to 213.36, 320.13 and 91.71

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Solution

The fourth proportional to 213.36, 320.13 and 91.71 is: 137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.36 : 320.13 = 91.71 : x
  2. Step 2: Convert to fraction form
    213.36/320.13 = 91.71/x
  3. Step 3: Cross multiply
    213.36x = 320.13 × 91.71
  4. Step 4: Simplify right side
    213.36x = 29,359.12
  5. Step 5: Solve for x
    x = 29,359.12/213.36
  6. Step 6: Final answer
    x = 137.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.