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Finding the Fourth Proportional to 38.02, 52.55 and 37.71

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Solution

The fourth proportional to 38.02, 52.55 and 37.71 is: 52.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.02 : 52.55 = 37.71 : x
  2. Step 2: Convert to fraction form
    38.02/52.55 = 37.71/x
  3. Step 3: Cross multiply
    38.02x = 52.55 × 37.71
  4. Step 4: Simplify right side
    38.02x = 1,981.66
  5. Step 5: Solve for x
    x = 1,981.66/38.02
  6. Step 6: Final answer
    x = 52.12

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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.