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Finding the Fourth Proportional to 5.72, 7.83 and 5.66

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Solution

The fourth proportional to 5.72, 7.83 and 5.66 is: 7.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.72 : 7.83 = 5.66 : x
  2. Step 2: Convert to fraction form
    5.72/7.83 = 5.66/x
  3. Step 3: Cross multiply
    5.72x = 7.83 × 5.66
  4. Step 4: Simplify right side
    5.72x = 44.28
  5. Step 5: Solve for x
    x = 44.28/5.72
  6. Step 6: Final answer
    x = 7.75

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.