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Finding the Fourth Proportional to 5.42, 8.12 and 4.46

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Solution

The fourth proportional to 5.42, 8.12 and 4.46 is: 6.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.42 : 8.12 = 4.46 : x
  2. Step 2: Convert to fraction form
    5.42/8.12 = 4.46/x
  3. Step 3: Cross multiply
    5.42x = 8.12 × 4.46
  4. Step 4: Simplify right side
    5.42x = 36.16
  5. Step 5: Solve for x
    x = 36.16/5.42
  6. Step 6: Final answer
    x = 6.68

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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.