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Finding the Fourth Proportional to 11.43, 17.05 and 9.84

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Solution

The fourth proportional to 11.43, 17.05 and 9.84 is: 14.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.43 : 17.05 = 9.84 : x
  2. Step 2: Convert to fraction form
    11.43/17.05 = 9.84/x
  3. Step 3: Cross multiply
    11.43x = 17.05 × 9.84
  4. Step 4: Simplify right side
    11.43x = 167.77
  5. Step 5: Solve for x
    x = 167.77/11.43
  6. Step 6: Final answer
    x = 14.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.