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Finding the Fourth Proportional to 83.70, 125.64 and 53.37

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Solution

The fourth proportional to 83.70, 125.64 and 53.37 is: 80.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.70 : 125.64 = 53.37 : x
  2. Step 2: Convert to fraction form
    83.70/125.64 = 53.37/x
  3. Step 3: Cross multiply
    83.70x = 125.64 × 53.37
  4. Step 4: Simplify right side
    83.70x = 6,705.41
  5. Step 5: Solve for x
    x = 6,705.41/83.70
  6. Step 6: Final answer
    x = 80.11

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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.