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Finding the Fourth Proportional to 35.38, 52.91 and 24.66

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Solution

The fourth proportional to 35.38, 52.91 and 24.66 is: 36.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.38 : 52.91 = 24.66 : x
  2. Step 2: Convert to fraction form
    35.38/52.91 = 24.66/x
  3. Step 3: Cross multiply
    35.38x = 52.91 × 24.66
  4. Step 4: Simplify right side
    35.38x = 1,304.76
  5. Step 5: Solve for x
    x = 1,304.76/35.38
  6. Step 6: Final answer
    x = 36.88

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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.