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Finding the Fourth Proportional to 33.86, 50.78 and 14.60

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Solution

The fourth proportional to 33.86, 50.78 and 14.60 is: 21.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.86 : 50.78 = 14.60 : x
  2. Step 2: Convert to fraction form
    33.86/50.78 = 14.60/x
  3. Step 3: Cross multiply
    33.86x = 50.78 × 14.60
  4. Step 4: Simplify right side
    33.86x = 741.55
  5. Step 5: Solve for x
    x = 741.55/33.86
  6. Step 6: Final answer
    x = 21.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.