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Finding the Fourth Proportional to 22.66, 31.26 and 21.74

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Solution

The fourth proportional to 22.66, 31.26 and 21.74 is: 29.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.66 : 31.26 = 21.74 : x
  2. Step 2: Convert to fraction form
    22.66/31.26 = 21.74/x
  3. Step 3: Cross multiply
    22.66x = 31.26 × 21.74
  4. Step 4: Simplify right side
    22.66x = 679.59
  5. Step 5: Solve for x
    x = 679.59/22.66
  6. Step 6: Final answer
    x = 29.99

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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.