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Finding the Fourth Proportional to 10.02, 13.74 and 9.66

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Solution

The fourth proportional to 10.02, 13.74 and 9.66 is: 13.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.02 : 13.74 = 9.66 : x
  2. Step 2: Convert to fraction form
    10.02/13.74 = 9.66/x
  3. Step 3: Cross multiply
    10.02x = 13.74 × 9.66
  4. Step 4: Simplify right side
    10.02x = 132.73
  5. Step 5: Solve for x
    x = 132.73/10.02
  6. Step 6: Final answer
    x = 13.25

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Why These Related Problems?

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