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Finding the Fourth Proportional to 5.66, 8.50 and 3.88

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Solution

The fourth proportional to 5.66, 8.50 and 3.88 is: 5.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.66 : 8.50 = 3.88 : x
  2. Step 2: Convert to fraction form
    5.66/8.50 = 3.88/x
  3. Step 3: Cross multiply
    5.66x = 8.50 × 3.88
  4. Step 4: Simplify right side
    5.66x = 32.98
  5. Step 5: Solve for x
    x = 32.98/5.66
  6. Step 6: Final answer
    x = 5.83

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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.