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Finding the Fourth Proportional to 22.48, 31.01 and 15.19

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Solution

The fourth proportional to 22.48, 31.01 and 15.19 is: 20.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.48 : 31.01 = 15.19 : x
  2. Step 2: Convert to fraction form
    22.48/31.01 = 15.19/x
  3. Step 3: Cross multiply
    22.48x = 31.01 × 15.19
  4. Step 4: Simplify right side
    22.48x = 470.93
  5. Step 5: Solve for x
    x = 470.93/22.48
  6. Step 6: Final answer
    x = 20.95

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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.