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Finding the Fourth Proportional to 70.38, 105.63 and 55.23

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Solution

The fourth proportional to 70.38, 105.63 and 55.23 is: 82.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.38 : 105.63 = 55.23 : x
  2. Step 2: Convert to fraction form
    70.38/105.63 = 55.23/x
  3. Step 3: Cross multiply
    70.38x = 105.63 × 55.23
  4. Step 4: Simplify right side
    70.38x = 5,833.94
  5. Step 5: Solve for x
    x = 5,833.94/70.38
  6. Step 6: Final answer
    x = 82.89

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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.