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Finding the Fourth Proportional to 14.93, 20.59 and 8.46

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Solution

The fourth proportional to 14.93, 20.59 and 8.46 is: 11.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.93 : 20.59 = 8.46 : x
  2. Step 2: Convert to fraction form
    14.93/20.59 = 8.46/x
  3. Step 3: Cross multiply
    14.93x = 20.59 × 8.46
  4. Step 4: Simplify right side
    14.93x = 174.09
  5. Step 5: Solve for x
    x = 174.09/14.93
  6. Step 6: Final answer
    x = 11.66

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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.