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Finding the Fourth Proportional to 22.47, 33.72 and 14.46

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Solution

The fourth proportional to 22.47, 33.72 and 14.46 is: 21.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.47 : 33.72 = 14.46 : x
  2. Step 2: Convert to fraction form
    22.47/33.72 = 14.46/x
  3. Step 3: Cross multiply
    22.47x = 33.72 × 14.46
  4. Step 4: Simplify right side
    22.47x = 487.59
  5. Step 5: Solve for x
    x = 487.59/22.47
  6. Step 6: Final answer
    x = 21.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.