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Finding the Fourth Proportional to 5.68, 7.82 and 4.24

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Solution

The fourth proportional to 5.68, 7.82 and 4.24 is: 5.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.68 : 7.82 = 4.24 : x
  2. Step 2: Convert to fraction form
    5.68/7.82 = 4.24/x
  3. Step 3: Cross multiply
    5.68x = 7.82 × 4.24
  4. Step 4: Simplify right side
    5.68x = 33.16
  5. Step 5: Solve for x
    x = 33.16/5.68
  6. Step 6: Final answer
    x = 5.84

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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.