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Finding the Fourth Proportional to 40.39, 55.71 and 25.84

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Solution

The fourth proportional to 40.39, 55.71 and 25.84 is: 35.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.39 : 55.71 = 25.84 : x
  2. Step 2: Convert to fraction form
    40.39/55.71 = 25.84/x
  3. Step 3: Cross multiply
    40.39x = 55.71 × 25.84
  4. Step 4: Simplify right side
    40.39x = 1,439.55
  5. Step 5: Solve for x
    x = 1,439.55/40.39
  6. Step 6: Final answer
    x = 35.64

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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.