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Finding the Fourth Proportional to 55.87, 83.81 and 19.80

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Solution

The fourth proportional to 55.87, 83.81 and 19.80 is: 29.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.87 : 83.81 = 19.80 : x
  2. Step 2: Convert to fraction form
    55.87/83.81 = 19.80/x
  3. Step 3: Cross multiply
    55.87x = 83.81 × 19.80
  4. Step 4: Simplify right side
    55.87x = 1,659.49
  5. Step 5: Solve for x
    x = 1,659.49/55.87
  6. Step 6: Final answer
    x = 29.70

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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.