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Finding the Fourth Proportional to 55.96, 84.06 and 55.12

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Solution

The fourth proportional to 55.96, 84.06 and 55.12 is: 82.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.96 : 84.06 = 55.12 : x
  2. Step 2: Convert to fraction form
    55.96/84.06 = 55.12/x
  3. Step 3: Cross multiply
    55.96x = 84.06 × 55.12
  4. Step 4: Simplify right side
    55.96x = 4,633.39
  5. Step 5: Solve for x
    x = 4,633.39/55.96
  6. Step 6: Final answer
    x = 82.80

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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.