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Finding the Fourth Proportional to 26.99, 37.25 and 16.08

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Solution

The fourth proportional to 26.99, 37.25 and 16.08 is: 22.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.99 : 37.25 = 16.08 : x
  2. Step 2: Convert to fraction form
    26.99/37.25 = 16.08/x
  3. Step 3: Cross multiply
    26.99x = 37.25 × 16.08
  4. Step 4: Simplify right side
    26.99x = 598.90
  5. Step 5: Solve for x
    x = 598.90/26.99
  6. Step 6: Final answer
    x = 22.19

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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.