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Finding the Fourth Proportional to 26.90, 37.10 and 23.25

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Solution

The fourth proportional to 26.90, 37.10 and 23.25 is: 32.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.90 : 37.10 = 23.25 : x
  2. Step 2: Convert to fraction form
    26.90/37.10 = 23.25/x
  3. Step 3: Cross multiply
    26.90x = 37.10 × 23.25
  4. Step 4: Simplify right side
    26.90x = 862.46
  5. Step 5: Solve for x
    x = 862.46/26.90
  6. Step 6: Final answer
    x = 32.07

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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.