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Finding the Fourth Proportional to 35.24, 52.84 and 19.20

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Solution

The fourth proportional to 35.24, 52.84 and 19.20 is: 28.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.24 : 52.84 = 19.20 : x
  2. Step 2: Convert to fraction form
    35.24/52.84 = 19.20/x
  3. Step 3: Cross multiply
    35.24x = 52.84 × 19.20
  4. Step 4: Simplify right side
    35.24x = 1,014.53
  5. Step 5: Solve for x
    x = 1,014.53/35.24
  6. Step 6: Final answer
    x = 28.79

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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.