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Finding the Fourth Proportional to 11.52, 15.98 and 11.15

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Solution

The fourth proportional to 11.52, 15.98 and 11.15 is: 15.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.52 : 15.98 = 11.15 : x
  2. Step 2: Convert to fraction form
    11.52/15.98 = 11.15/x
  3. Step 3: Cross multiply
    11.52x = 15.98 × 11.15
  4. Step 4: Simplify right side
    11.52x = 178.10
  5. Step 5: Solve for x
    x = 178.10/11.52
  6. Step 6: Final answer
    x = 15.46

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.