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Finding the Fourth Proportional to 7.28, 10.04 and 5.66

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Solution

The fourth proportional to 7.28, 10.04 and 5.66 is: 7.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.28 : 10.04 = 5.66 : x
  2. Step 2: Convert to fraction form
    7.28/10.04 = 5.66/x
  3. Step 3: Cross multiply
    7.28x = 10.04 × 5.66
  4. Step 4: Simplify right side
    7.28x = 56.75
  5. Step 5: Solve for x
    x = 56.75/7.28
  6. Step 6: Final answer
    x = 7.80

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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.