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Finding the Fourth Proportional to 55.50, 83.16 and 53.85

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Solution

The fourth proportional to 55.50, 83.16 and 53.85 is: 80.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.50 : 83.16 = 53.85 : x
  2. Step 2: Convert to fraction form
    55.50/83.16 = 53.85/x
  3. Step 3: Cross multiply
    55.50x = 83.16 × 53.85
  4. Step 4: Simplify right side
    55.50x = 4,478.17
  5. Step 5: Solve for x
    x = 4,478.17/55.50
  6. Step 6: Final answer
    x = 80.69

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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.