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Finding the Fourth Proportional to 26.84, 37 and 22.69

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Solution

The fourth proportional to 26.84, 37 and 22.69 is: 31.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.84 : 37 = 22.69 : x
  2. Step 2: Convert to fraction form
    26.84/37 = 22.69/x
  3. Step 3: Cross multiply
    26.84x = 37 × 22.69
  4. Step 4: Simplify right side
    26.84x = 839.53
  5. Step 5: Solve for x
    x = 839.53/26.84
  6. Step 6: Final answer
    x = 31.28

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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.