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Finding the Fourth Proportional to 38.66, 53.28 and 36.94

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Solution

The fourth proportional to 38.66, 53.28 and 36.94 is: 50.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.66 : 53.28 = 36.94 : x
  2. Step 2: Convert to fraction form
    38.66/53.28 = 36.94/x
  3. Step 3: Cross multiply
    38.66x = 53.28 × 36.94
  4. Step 4: Simplify right side
    38.66x = 1,968.16
  5. Step 5: Solve for x
    x = 1,968.16/38.66
  6. Step 6: Final answer
    x = 50.91

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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.