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Finding the Fourth Proportional to 25.71, 35.41 and 24.40

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Solution

The fourth proportional to 25.71, 35.41 and 24.40 is: 33.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.71 : 35.41 = 24.40 : x
  2. Step 2: Convert to fraction form
    25.71/35.41 = 24.40/x
  3. Step 3: Cross multiply
    25.71x = 35.41 × 24.40
  4. Step 4: Simplify right side
    25.71x = 864.20
  5. Step 5: Solve for x
    x = 864.20/25.71
  6. Step 6: Final answer
    x = 33.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.