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Finding the Fourth Proportional to 35.74, 49.25 and 25.88

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Solution

The fourth proportional to 35.74, 49.25 and 25.88 is: 35.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.74 : 49.25 = 25.88 : x
  2. Step 2: Convert to fraction form
    35.74/49.25 = 25.88/x
  3. Step 3: Cross multiply
    35.74x = 49.25 × 25.88
  4. Step 4: Simplify right side
    35.74x = 1,274.59
  5. Step 5: Solve for x
    x = 1,274.59/35.74
  6. Step 6: Final answer
    x = 35.66

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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.