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Finding the Fourth Proportional to 35.31, 52.96 and 19.05

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Solution

The fourth proportional to 35.31, 52.96 and 19.05 is: 28.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.31 : 52.96 = 19.05 : x
  2. Step 2: Convert to fraction form
    35.31/52.96 = 19.05/x
  3. Step 3: Cross multiply
    35.31x = 52.96 × 19.05
  4. Step 4: Simplify right side
    35.31x = 1,008.89
  5. Step 5: Solve for x
    x = 1,008.89/35.31
  6. Step 6: Final answer
    x = 28.57

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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.