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Finding the Fourth Proportional to 83.24, 124.98 and 55.83

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Solution

The fourth proportional to 83.24, 124.98 and 55.83 is: 83.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.24 : 124.98 = 55.83 : x
  2. Step 2: Convert to fraction form
    83.24/124.98 = 55.83/x
  3. Step 3: Cross multiply
    83.24x = 124.98 × 55.83
  4. Step 4: Simplify right side
    83.24x = 6,977.63
  5. Step 5: Solve for x
    x = 6,977.63/83.24
  6. Step 6: Final answer
    x = 83.83

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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.