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Finding the Fourth Proportional to 5.67, 7.82 and 5.30

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Solution

The fourth proportional to 5.67, 7.82 and 5.30 is: 7.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.67 : 7.82 = 5.30 : x
  2. Step 2: Convert to fraction form
    5.67/7.82 = 5.30/x
  3. Step 3: Cross multiply
    5.67x = 7.82 × 5.30
  4. Step 4: Simplify right side
    5.67x = 41.38
  5. Step 5: Solve for x
    x = 41.38/5.67
  6. Step 6: Final answer
    x = 7.30

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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.