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Finding the Fourth Proportional to 55.68, 83.20 and 53.44

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Solution

The fourth proportional to 55.68, 83.20 and 53.44 is: 79.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.68 : 83.20 = 53.44 : x
  2. Step 2: Convert to fraction form
    55.68/83.20 = 53.44/x
  3. Step 3: Cross multiply
    55.68x = 83.20 × 53.44
  4. Step 4: Simplify right side
    55.68x = 4,446.21
  5. Step 5: Solve for x
    x = 4,446.21/55.68
  6. Step 6: Final answer
    x = 79.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.