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Finding the Fourth Proportional to 49.55, 68.31 and 33.14

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Solution

The fourth proportional to 49.55, 68.31 and 33.14 is: 45.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.55 : 68.31 = 33.14 : x
  2. Step 2: Convert to fraction form
    49.55/68.31 = 33.14/x
  3. Step 3: Cross multiply
    49.55x = 68.31 × 33.14
  4. Step 4: Simplify right side
    49.55x = 2,263.96
  5. Step 5: Solve for x
    x = 2,263.96/49.55
  6. Step 6: Final answer
    x = 45.70

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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.