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Finding the Fourth Proportional to 213.53, 320.29 and 59.48

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Solution

The fourth proportional to 213.53, 320.29 and 59.48 is: 89.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.53 : 320.29 = 59.48 : x
  2. Step 2: Convert to fraction form
    213.53/320.29 = 59.48/x
  3. Step 3: Cross multiply
    213.53x = 320.29 × 59.48
  4. Step 4: Simplify right side
    213.53x = 19,049.10
  5. Step 5: Solve for x
    x = 19,049.10/213.53
  6. Step 6: Final answer
    x = 89.21

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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.