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Finding the Fourth Proportional to 35.32, 52.90 and 19.25

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Solution

The fourth proportional to 35.32, 52.90 and 19.25 is: 28.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.32 : 52.90 = 19.25 : x
  2. Step 2: Convert to fraction form
    35.32/52.90 = 19.25/x
  3. Step 3: Cross multiply
    35.32x = 52.90 × 19.25
  4. Step 4: Simplify right side
    35.32x = 1,018.33
  5. Step 5: Solve for x
    x = 1,018.33/35.32
  6. Step 6: Final answer
    x = 28.83

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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.