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Finding the Fourth Proportional to 20.25, 27.95 and 13.35

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Solution

The fourth proportional to 20.25, 27.95 and 13.35 is: 18.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.25 : 27.95 = 13.35 : x
  2. Step 2: Convert to fraction form
    20.25/27.95 = 13.35/x
  3. Step 3: Cross multiply
    20.25x = 27.95 × 13.35
  4. Step 4: Simplify right side
    20.25x = 373.17
  5. Step 5: Solve for x
    x = 373.17/20.25
  6. Step 6: Final answer
    x = 18.43

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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.