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Finding the Fourth Proportional to 29.95, 41.31 and 22.66

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Solution

The fourth proportional to 29.95, 41.31 and 22.66 is: 31.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.95 : 41.31 = 22.66 : x
  2. Step 2: Convert to fraction form
    29.95/41.31 = 22.66/x
  3. Step 3: Cross multiply
    29.95x = 41.31 × 22.66
  4. Step 4: Simplify right side
    29.95x = 936.08
  5. Step 5: Solve for x
    x = 936.08/29.95
  6. Step 6: Final answer
    x = 31.25

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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.