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Finding the Fourth Proportional to 14.48, 20.00 and 9.89

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Solution

The fourth proportional to 14.48, 20.00 and 9.89 is: 13.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.48 : 20.00 = 9.89 : x
  2. Step 2: Convert to fraction form
    14.48/20.00 = 9.89/x
  3. Step 3: Cross multiply
    14.48x = 20.00 × 9.89
  4. Step 4: Simplify right side
    14.48x = 197.65
  5. Step 5: Solve for x
    x = 197.65/14.48
  6. Step 6: Final answer
    x = 13.65

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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.