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Finding the Fourth Proportional to 11.19, 15.45 and 8.46

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Solution

The fourth proportional to 11.19, 15.45 and 8.46 is: 11.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.19 : 15.45 = 8.46 : x
  2. Step 2: Convert to fraction form
    11.19/15.45 = 8.46/x
  3. Step 3: Cross multiply
    11.19x = 15.45 × 8.46
  4. Step 4: Simplify right side
    11.19x = 130.71
  5. Step 5: Solve for x
    x = 130.71/11.19
  6. Step 6: Final answer
    x = 11.68

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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.