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Finding the Fourth Proportional to 22.80, 31.49 and 18.48

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Solution

The fourth proportional to 22.80, 31.49 and 18.48 is: 25.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.80 : 31.49 = 18.48 : x
  2. Step 2: Convert to fraction form
    22.80/31.49 = 18.48/x
  3. Step 3: Cross multiply
    22.80x = 31.49 × 18.48
  4. Step 4: Simplify right side
    22.80x = 581.94
  5. Step 5: Solve for x
    x = 581.94/22.80
  6. Step 6: Final answer
    x = 25.52

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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.