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Finding the Fourth Proportional to 26.04, 35.77 and 25.64

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Solution

The fourth proportional to 26.04, 35.77 and 25.64 is: 35.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.04 : 35.77 = 25.64 : x
  2. Step 2: Convert to fraction form
    26.04/35.77 = 25.64/x
  3. Step 3: Cross multiply
    26.04x = 35.77 × 25.64
  4. Step 4: Simplify right side
    26.04x = 917.14
  5. Step 5: Solve for x
    x = 917.14/26.04
  6. Step 6: Final answer
    x = 35.22

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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.