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Finding the Fourth Proportional to 11.48, 15.82 and 9.18

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Solution

The fourth proportional to 11.48, 15.82 and 9.18 is: 12.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.48 : 15.82 = 9.18 : x
  2. Step 2: Convert to fraction form
    11.48/15.82 = 9.18/x
  3. Step 3: Cross multiply
    11.48x = 15.82 × 9.18
  4. Step 4: Simplify right side
    11.48x = 145.23
  5. Step 5: Solve for x
    x = 145.23/11.48
  6. Step 6: Final answer
    x = 12.65

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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.