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Finding the Fourth Proportional to 3.63, 5.45 and 2.13

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Solution

The fourth proportional to 3.63, 5.45 and 2.13 is: 3.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.63 : 5.45 = 2.13 : x
  2. Step 2: Convert to fraction form
    3.63/5.45 = 2.13/x
  3. Step 3: Cross multiply
    3.63x = 5.45 × 2.13
  4. Step 4: Simplify right side
    3.63x = 11.61
  5. Step 5: Solve for x
    x = 11.61/3.63
  6. Step 6: Final answer
    x = 3.20

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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.