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Finding the Fourth Proportional to 35.30, 52.91 and 30.97

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Solution

The fourth proportional to 35.30, 52.91 and 30.97 is: 46.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.30 : 52.91 = 30.97 : x
  2. Step 2: Convert to fraction form
    35.30/52.91 = 30.97/x
  3. Step 3: Cross multiply
    35.30x = 52.91 × 30.97
  4. Step 4: Simplify right side
    35.30x = 1,638.65
  5. Step 5: Solve for x
    x = 1,638.65/35.30
  6. Step 6: Final answer
    x = 46.42

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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.