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Finding the Fourth Proportional to 26.82, 37.08 and 23.40

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Solution

The fourth proportional to 26.82, 37.08 and 23.40 is: 32.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.82 : 37.08 = 23.40 : x
  2. Step 2: Convert to fraction form
    26.82/37.08 = 23.40/x
  3. Step 3: Cross multiply
    26.82x = 37.08 × 23.40
  4. Step 4: Simplify right side
    26.82x = 867.67
  5. Step 5: Solve for x
    x = 867.67/26.82
  6. Step 6: Final answer
    x = 32.35

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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.