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Finding the Fourth Proportional to 35.90, 49.56 and 25.82

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Solution

The fourth proportional to 35.90, 49.56 and 25.82 is: 35.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.90 : 49.56 = 25.82 : x
  2. Step 2: Convert to fraction form
    35.90/49.56 = 25.82/x
  3. Step 3: Cross multiply
    35.90x = 49.56 × 25.82
  4. Step 4: Simplify right side
    35.90x = 1,279.39
  5. Step 5: Solve for x
    x = 1,279.39/35.90
  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.