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Finding the Fourth Proportional to 26.14, 35.90 and 26.06

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Solution

The fourth proportional to 26.14, 35.90 and 26.06 is: 35.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.14 : 35.90 = 26.06 : x
  2. Step 2: Convert to fraction form
    26.14/35.90 = 26.06/x
  3. Step 3: Cross multiply
    26.14x = 35.90 × 26.06
  4. Step 4: Simplify right side
    26.14x = 935.55
  5. Step 5: Solve for x
    x = 935.55/26.14
  6. Step 6: Final answer
    x = 35.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.