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Finding the Fourth Proportional to 38.00, 52.65 and 37.16

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Solution

The fourth proportional to 38.00, 52.65 and 37.16 is: 51.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.00 : 52.65 = 37.16 : x
  2. Step 2: Convert to fraction form
    38.00/52.65 = 37.16/x
  3. Step 3: Cross multiply
    38.00x = 52.65 × 37.16
  4. Step 4: Simplify right side
    38.00x = 1,956.21
  5. Step 5: Solve for x
    x = 1,956.21/38.00
  6. Step 6: Final answer
    x = 51.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.