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Finding the Fourth Proportional to 5.80, 8.01 and 5.66

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Solution

The fourth proportional to 5.80, 8.01 and 5.66 is: 7.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.80 : 8.01 = 5.66 : x
  2. Step 2: Convert to fraction form
    5.80/8.01 = 5.66/x
  3. Step 3: Cross multiply
    5.80x = 8.01 × 5.66
  4. Step 4: Simplify right side
    5.80x = 45.34
  5. Step 5: Solve for x
    x = 45.34/5.80
  6. Step 6: Final answer
    x = 7.82

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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.