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Finding the Fourth Proportional to 26.88, 37.09 and 14.59

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Solution

The fourth proportional to 26.88, 37.09 and 14.59 is: 20.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.88 : 37.09 = 14.59 : x
  2. Step 2: Convert to fraction form
    26.88/37.09 = 14.59/x
  3. Step 3: Cross multiply
    26.88x = 37.09 × 14.59
  4. Step 4: Simplify right side
    26.88x = 541.25
  5. Step 5: Solve for x
    x = 541.25/26.88
  6. Step 6: Final answer
    x = 20.14

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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.