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Finding the Fourth Proportional to 15.94, 23.83 and 11.64

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Solution

The fourth proportional to 15.94, 23.83 and 11.64 is: 17.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.94 : 23.83 = 11.64 : x
  2. Step 2: Convert to fraction form
    15.94/23.83 = 11.64/x
  3. Step 3: Cross multiply
    15.94x = 23.83 × 11.64
  4. Step 4: Simplify right side
    15.94x = 277.38
  5. Step 5: Solve for x
    x = 277.38/15.94
  6. Step 6: Final answer
    x = 17.40

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Why These Related Problems?

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