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Finding the Fourth Proportional to 5.67, 7.82 and 4.14

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Solution

The fourth proportional to 5.67, 7.82 and 4.14 is: 5.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.67 : 7.82 = 4.14 : x
  2. Step 2: Convert to fraction form
    5.67/7.82 = 4.14/x
  3. Step 3: Cross multiply
    5.67x = 7.82 × 4.14
  4. Step 4: Simplify right side
    5.67x = 32.34
  5. Step 5: Solve for x
    x = 32.34/5.67
  6. Step 6: Final answer
    x = 5.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.