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Finding the Fourth Proportional to 31, 42.78 and 19.50

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Solution

The fourth proportional to 31, 42.78 and 19.50 is: 26.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31 : 42.78 = 19.50 : x
  2. Step 2: Convert to fraction form
    31/42.78 = 19.50/x
  3. Step 3: Cross multiply
    31x = 42.78 × 19.50
  4. Step 4: Simplify right side
    31x = 834.21
  5. Step 5: Solve for x
    x = 834.21/31
  6. Step 6: Final answer
    x = 26.91

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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.