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Finding the Fourth Proportional to 5.42, 8.13 and 3.18

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Solution

The fourth proportional to 5.42, 8.13 and 3.18 is: 4.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.42 : 8.13 = 3.18 : x
  2. Step 2: Convert to fraction form
    5.42/8.13 = 3.18/x
  3. Step 3: Cross multiply
    5.42x = 8.13 × 3.18
  4. Step 4: Simplify right side
    5.42x = 25.85
  5. Step 5: Solve for x
    x = 25.85/5.42
  6. Step 6: Final answer
    x = 4.77

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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.