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Finding the Fourth Proportional to 29.69, 40.99 and 22.85

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Solution

The fourth proportional to 29.69, 40.99 and 22.85 is: 31.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.69 : 40.99 = 22.85 : x
  2. Step 2: Convert to fraction form
    29.69/40.99 = 22.85/x
  3. Step 3: Cross multiply
    29.69x = 40.99 × 22.85
  4. Step 4: Simplify right side
    29.69x = 936.42
  5. Step 5: Solve for x
    x = 936.42/29.69
  6. Step 6: Final answer
    x = 31.55

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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.