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Finding the Fourth Proportional to 38.88, 53.36 and 37.84

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Solution

The fourth proportional to 38.88, 53.36 and 37.84 is: 51.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.88 : 53.36 = 37.84 : x
  2. Step 2: Convert to fraction form
    38.88/53.36 = 37.84/x
  3. Step 3: Cross multiply
    38.88x = 53.36 × 37.84
  4. Step 4: Simplify right side
    38.88x = 2,019.21
  5. Step 5: Solve for x
    x = 2,019.21/38.88
  6. Step 6: Final answer
    x = 51.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.