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Finding the Fourth Proportional to 213.52, 320.10 and 90.13

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Solution

The fourth proportional to 213.52, 320.10 and 90.13 is: 135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.52 : 320.10 = 90.13 : x
  2. Step 2: Convert to fraction form
    213.52/320.10 = 90.13/x
  3. Step 3: Cross multiply
    213.52x = 320.10 × 90.13
  4. Step 4: Simplify right side
    213.52x = 28,850.61
  5. Step 5: Solve for x
    x = 28,850.61/213.52
  6. Step 6: Final answer
    x = 135.12

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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.