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Finding the Fourth Proportional to 38.34, 57.57 and 37.02

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Solution

The fourth proportional to 38.34, 57.57 and 37.02 is: 55.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.34 : 57.57 = 37.02 : x
  2. Step 2: Convert to fraction form
    38.34/57.57 = 37.02/x
  3. Step 3: Cross multiply
    38.34x = 57.57 × 37.02
  4. Step 4: Simplify right side
    38.34x = 2,131.24
  5. Step 5: Solve for x
    x = 2,131.24/38.34
  6. Step 6: Final answer
    x = 55.59

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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.