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Finding the Fourth Proportional to 35.96, 53.78 and 26.90

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Solution

The fourth proportional to 35.96, 53.78 and 26.90 is: 40.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.96 : 53.78 = 26.90 : x
  2. Step 2: Convert to fraction form
    35.96/53.78 = 26.90/x
  3. Step 3: Cross multiply
    35.96x = 53.78 × 26.90
  4. Step 4: Simplify right side
    35.96x = 1,446.68
  5. Step 5: Solve for x
    x = 1,446.68/35.96
  6. Step 6: Final answer
    x = 40.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.