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Finding the Fourth Proportional to 25.19, 37.87 and 20.71

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Solution

The fourth proportional to 25.19, 37.87 and 20.71 is: 31.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.19 : 37.87 = 20.71 : x
  2. Step 2: Convert to fraction form
    25.19/37.87 = 20.71/x
  3. Step 3: Cross multiply
    25.19x = 37.87 × 20.71
  4. Step 4: Simplify right side
    25.19x = 784.29
  5. Step 5: Solve for x
    x = 784.29/25.19
  6. Step 6: Final answer
    x = 31.13

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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.