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Finding the Fourth Proportional to 55.93, 77.17 and 33.81

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Solution

The fourth proportional to 55.93, 77.17 and 33.81 is: 46.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.93 : 77.17 = 33.81 : x
  2. Step 2: Convert to fraction form
    55.93/77.17 = 33.81/x
  3. Step 3: Cross multiply
    55.93x = 77.17 × 33.81
  4. Step 4: Simplify right side
    55.93x = 2,609.38
  5. Step 5: Solve for x
    x = 2,609.38/55.93
  6. Step 6: Final answer
    x = 46.65

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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.