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Finding the Fourth Proportional to 38.36, 52.98 and 29.80

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Solution

The fourth proportional to 38.36, 52.98 and 29.80 is: 41.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.36 : 52.98 = 29.80 : x
  2. Step 2: Convert to fraction form
    38.36/52.98 = 29.80/x
  3. Step 3: Cross multiply
    38.36x = 52.98 × 29.80
  4. Step 4: Simplify right side
    38.36x = 1,578.80
  5. Step 5: Solve for x
    x = 1,578.80/38.36
  6. Step 6: Final answer
    x = 41.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.