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Finding the Fourth Proportional to 22.24, 30.72 and 16.52

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Solution

The fourth proportional to 22.24, 30.72 and 16.52 is: 22.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.24 : 30.72 = 16.52 : x
  2. Step 2: Convert to fraction form
    22.24/30.72 = 16.52/x
  3. Step 3: Cross multiply
    22.24x = 30.72 × 16.52
  4. Step 4: Simplify right side
    22.24x = 507.49
  5. Step 5: Solve for x
    x = 507.49/22.24
  6. Step 6: Final answer
    x = 22.82

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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.