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Finding the Fourth Proportional to 37.93, 52.16 and 33.32

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Solution

The fourth proportional to 37.93, 52.16 and 33.32 is: 45.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.93 : 52.16 = 33.32 : x
  2. Step 2: Convert to fraction form
    37.93/52.16 = 33.32/x
  3. Step 3: Cross multiply
    37.93x = 52.16 × 33.32
  4. Step 4: Simplify right side
    37.93x = 1,737.97
  5. Step 5: Solve for x
    x = 1,737.97/37.93
  6. Step 6: Final answer
    x = 45.82

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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.