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Finding the Fourth Proportional to 55.82, 83.84 and 53.26

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Solution

The fourth proportional to 55.82, 83.84 and 53.26 is: 79.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.82 : 83.84 = 53.26 : x
  2. Step 2: Convert to fraction form
    55.82/83.84 = 53.26/x
  3. Step 3: Cross multiply
    55.82x = 83.84 × 53.26
  4. Step 4: Simplify right side
    55.82x = 4,464.84
  5. Step 5: Solve for x
    x = 4,464.84/55.82
  6. Step 6: Final answer
    x = 79.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.