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Finding the Fourth Proportional to 38.37, 53 and 36.55

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Solution

The fourth proportional to 38.37, 53 and 36.55 is: 50.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.37 : 53 = 36.55 : x
  2. Step 2: Convert to fraction form
    38.37/53 = 36.55/x
  3. Step 3: Cross multiply
    38.37x = 53 × 36.55
  4. Step 4: Simplify right side
    38.37x = 1,937.15
  5. Step 5: Solve for x
    x = 1,937.15/38.37
  6. Step 6: Final answer
    x = 50.49

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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.