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Finding the Fourth Proportional to 83.35, 115.01 and 51.85

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Solution

The fourth proportional to 83.35, 115.01 and 51.85 is: 71.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.35 : 115.01 = 51.85 : x
  2. Step 2: Convert to fraction form
    83.35/115.01 = 51.85/x
  3. Step 3: Cross multiply
    83.35x = 115.01 × 51.85
  4. Step 4: Simplify right side
    83.35x = 5,962.77
  5. Step 5: Solve for x
    x = 5,962.77/83.35
  6. Step 6: Final answer
    x = 71.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.