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Finding the Fourth Proportional to 19.84, 29.75 and 13.05

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Solution

The fourth proportional to 19.84, 29.75 and 13.05 is: 19.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.84 : 29.75 = 13.05 : x
  2. Step 2: Convert to fraction form
    19.84/29.75 = 13.05/x
  3. Step 3: Cross multiply
    19.84x = 29.75 × 13.05
  4. Step 4: Simplify right side
    19.84x = 388.24
  5. Step 5: Solve for x
    x = 388.24/19.84
  6. Step 6: Final answer
    x = 19.57

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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.