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Finding the Fourth Proportional to 35.31, 52.94 and 16.04

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Solution

The fourth proportional to 35.31, 52.94 and 16.04 is: 24.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.31 : 52.94 = 16.04 : x
  2. Step 2: Convert to fraction form
    35.31/52.94 = 16.04/x
  3. Step 3: Cross multiply
    35.31x = 52.94 × 16.04
  4. Step 4: Simplify right side
    35.31x = 849.16
  5. Step 5: Solve for x
    x = 849.16/35.31
  6. Step 6: Final answer
    x = 24.05

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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.