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Finding the Fourth Proportional to 38.10, 56.82 and 36.96

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Solution

The fourth proportional to 38.10, 56.82 and 36.96 is: 55.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.10 : 56.82 = 36.96 : x
  2. Step 2: Convert to fraction form
    38.10/56.82 = 36.96/x
  3. Step 3: Cross multiply
    38.10x = 56.82 × 36.96
  4. Step 4: Simplify right side
    38.10x = 2,100.07
  5. Step 5: Solve for x
    x = 2,100.07/38.10
  6. Step 6: Final answer
    x = 55.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.