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Finding the Fourth Proportional to 19.95, 27.50 and 14.12

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Solution

The fourth proportional to 19.95, 27.50 and 14.12 is: 19.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.95 : 27.50 = 14.12 : x
  2. Step 2: Convert to fraction form
    19.95/27.50 = 14.12/x
  3. Step 3: Cross multiply
    19.95x = 27.50 × 14.12
  4. Step 4: Simplify right side
    19.95x = 388.30
  5. Step 5: Solve for x
    x = 388.30/19.95
  6. Step 6: Final answer
    x = 19.46

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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.