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Finding the Fourth Proportional to 23.75, 32.78 and 14.05

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Solution

The fourth proportional to 23.75, 32.78 and 14.05 is: 19.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.75 : 32.78 = 14.05 : x
  2. Step 2: Convert to fraction form
    23.75/32.78 = 14.05/x
  3. Step 3: Cross multiply
    23.75x = 32.78 × 14.05
  4. Step 4: Simplify right side
    23.75x = 460.32
  5. Step 5: Solve for x
    x = 460.32/23.75
  6. Step 6: Final answer
    x = 19.38

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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.