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Finding the Fourth Proportional to 26.88, 40.16 and 24

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Solution

The fourth proportional to 26.88, 40.16 and 24 is: 35.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.88 : 40.16 = 24 : x
  2. Step 2: Convert to fraction form
    26.88/40.16 = 24/x
  3. Step 3: Cross multiply
    26.88x = 40.16 × 24
  4. Step 4: Simplify right side
    26.88x = 963.84
  5. Step 5: Solve for x
    x = 963.84/26.88
  6. Step 6: Final answer
    x = 35.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.