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Finding the Fourth Proportional to 23.84, 35.76 and 13.16

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Solution

The fourth proportional to 23.84, 35.76 and 13.16 is: 19.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.84 : 35.76 = 13.16 : x
  2. Step 2: Convert to fraction form
    23.84/35.76 = 13.16/x
  3. Step 3: Cross multiply
    23.84x = 35.76 × 13.16
  4. Step 4: Simplify right side
    23.84x = 470.60
  5. Step 5: Solve for x
    x = 470.60/23.84
  6. Step 6: Final answer
    x = 19.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.