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Finding the Fourth Proportional to 55.62, 83.25 and 53.46

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Solution

The fourth proportional to 55.62, 83.25 and 53.46 is: 80.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.62 : 83.25 = 53.46 : x
  2. Step 2: Convert to fraction form
    55.62/83.25 = 53.46/x
  3. Step 3: Cross multiply
    55.62x = 83.25 × 53.46
  4. Step 4: Simplify right side
    55.62x = 4,450.55
  5. Step 5: Solve for x
    x = 4,450.55/55.62
  6. Step 6: Final answer
    x = 80.02

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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.