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Finding the Fourth Proportional to 12.32, 17.00 and 10.02

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Solution

The fourth proportional to 12.32, 17.00 and 10.02 is: 13.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.32 : 17.00 = 10.02 : x
  2. Step 2: Convert to fraction form
    12.32/17.00 = 10.02/x
  3. Step 3: Cross multiply
    12.32x = 17.00 × 10.02
  4. Step 4: Simplify right side
    12.32x = 170.29
  5. Step 5: Solve for x
    x = 170.29/12.32
  6. Step 6: Final answer
    x = 13.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.