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Finding the Fourth Proportional to 14.61, 20.19 and 13.93

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Solution

The fourth proportional to 14.61, 20.19 and 13.93 is: 19.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.61 : 20.19 = 13.93 : x
  2. Step 2: Convert to fraction form
    14.61/20.19 = 13.93/x
  3. Step 3: Cross multiply
    14.61x = 20.19 × 13.93
  4. Step 4: Simplify right side
    14.61x = 281.25
  5. Step 5: Solve for x
    x = 281.25/14.61
  6. Step 6: Final answer
    x = 19.25

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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.