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Finding the Fourth Proportional to 83.36, 124.96 and 52.84

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Solution

The fourth proportional to 83.36, 124.96 and 52.84 is: 79.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.36 : 124.96 = 52.84 : x
  2. Step 2: Convert to fraction form
    83.36/124.96 = 52.84/x
  3. Step 3: Cross multiply
    83.36x = 124.96 × 52.84
  4. Step 4: Simplify right side
    83.36x = 6,602.89
  5. Step 5: Solve for x
    x = 6,602.89/83.36
  6. Step 6: Final answer
    x = 79.21

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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.