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Finding the Fourth Proportional to 55.42, 83.16 and 33.84

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Solution

The fourth proportional to 55.42, 83.16 and 33.84 is: 50.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.42 : 83.16 = 33.84 : x
  2. Step 2: Convert to fraction form
    55.42/83.16 = 33.84/x
  3. Step 3: Cross multiply
    55.42x = 83.16 × 33.84
  4. Step 4: Simplify right side
    55.42x = 2,814.13
  5. Step 5: Solve for x
    x = 2,814.13/55.42
  6. Step 6: Final answer
    x = 50.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.