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Finding the Fourth Proportional to 70.86, 105.83 and 61.75

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Solution

The fourth proportional to 70.86, 105.83 and 61.75 is: 92.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.86 : 105.83 = 61.75 : x
  2. Step 2: Convert to fraction form
    70.86/105.83 = 61.75/x
  3. Step 3: Cross multiply
    70.86x = 105.83 × 61.75
  4. Step 4: Simplify right side
    70.86x = 6,535.06
  5. Step 5: Solve for x
    x = 6,535.06/70.86
  6. Step 6: Final answer
    x = 92.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.