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Finding the Fourth Proportional to 9.44, 13.02 and 5.80

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Solution

The fourth proportional to 9.44, 13.02 and 5.80 is: 8.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.44 : 13.02 = 5.80 : x
  2. Step 2: Convert to fraction form
    9.44/13.02 = 5.80/x
  3. Step 3: Cross multiply
    9.44x = 13.02 × 5.80
  4. Step 4: Simplify right side
    9.44x = 75.52
  5. Step 5: Solve for x
    x = 75.52/9.44
  6. Step 6: Final answer
    x = 8.00

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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.