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Finding the Fourth Proportional to 55.33, 76.32 and 38.95

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Solution

The fourth proportional to 55.33, 76.32 and 38.95 is: 53.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.33 : 76.32 = 38.95 : x
  2. Step 2: Convert to fraction form
    55.33/76.32 = 38.95/x
  3. Step 3: Cross multiply
    55.33x = 76.32 × 38.95
  4. Step 4: Simplify right side
    55.33x = 2,972.66
  5. Step 5: Solve for x
    x = 2,972.66/55.33
  6. Step 6: Final answer
    x = 53.73

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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.