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Finding the Fourth Proportional to 37.85, 56.78 and 36.02

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Solution

The fourth proportional to 37.85, 56.78 and 36.02 is: 54.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.85 : 56.78 = 36.02 : x
  2. Step 2: Convert to fraction form
    37.85/56.78 = 36.02/x
  3. Step 3: Cross multiply
    37.85x = 56.78 × 36.02
  4. Step 4: Simplify right side
    37.85x = 2,045.45
  5. Step 5: Solve for x
    x = 2,045.45/37.85
  6. Step 6: Final answer
    x = 54.05

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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.