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Finding the Fourth Proportional to 20.07, 27.71 and 14.89

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Solution

The fourth proportional to 20.07, 27.71 and 14.89 is: 20.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.07 : 27.71 = 14.89 : x
  2. Step 2: Convert to fraction form
    20.07/27.71 = 14.89/x
  3. Step 3: Cross multiply
    20.07x = 27.71 × 14.89
  4. Step 4: Simplify right side
    20.07x = 412.60
  5. Step 5: Solve for x
    x = 412.60/20.07
  6. Step 6: Final answer
    x = 20.56

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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.