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Finding the Fourth Proportional to 26.85, 37 and 24.26

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Solution

The fourth proportional to 26.85, 37 and 24.26 is: 33.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.85 : 37 = 24.26 : x
  2. Step 2: Convert to fraction form
    26.85/37 = 24.26/x
  3. Step 3: Cross multiply
    26.85x = 37 × 24.26
  4. Step 4: Simplify right side
    26.85x = 897.62
  5. Step 5: Solve for x
    x = 897.62/26.85
  6. Step 6: Final answer
    x = 33.43

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1.5x scale

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.