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Finding the Fourth Proportional to 40.51, 55.86 and 25.95

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Solution

The fourth proportional to 40.51, 55.86 and 25.95 is: 35.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.51 : 55.86 = 25.95 : x
  2. Step 2: Convert to fraction form
    40.51/55.86 = 25.95/x
  3. Step 3: Cross multiply
    40.51x = 55.86 × 25.95
  4. Step 4: Simplify right side
    40.51x = 1,449.57
  5. Step 5: Solve for x
    x = 1,449.57/40.51
  6. Step 6: Final answer
    x = 35.78

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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.