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Finding the Fourth Proportional to 22.71, 31.29 and 16.56

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Solution

The fourth proportional to 22.71, 31.29 and 16.56 is: 22.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.71 : 31.29 = 16.56 : x
  2. Step 2: Convert to fraction form
    22.71/31.29 = 16.56/x
  3. Step 3: Cross multiply
    22.71x = 31.29 × 16.56
  4. Step 4: Simplify right side
    22.71x = 518.16
  5. Step 5: Solve for x
    x = 518.16/22.71
  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.