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Finding the Fourth Proportional to 5.66, 7.82 and 5.36

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Solution

The fourth proportional to 5.66, 7.82 and 5.36 is: 7.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.66 : 7.82 = 5.36 : x
  2. Step 2: Convert to fraction form
    5.66/7.82 = 5.36/x
  3. Step 3: Cross multiply
    5.66x = 7.82 × 5.36
  4. Step 4: Simplify right side
    5.66x = 41.92
  5. Step 5: Solve for x
    x = 41.92/5.66
  6. Step 6: Final answer
    x = 7.41

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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.