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Finding the Fourth Proportional to 70.59, 105.86 and 27.26

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Solution

The fourth proportional to 70.59, 105.86 and 27.26 is: 40.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.59 : 105.86 = 27.26 : x
  2. Step 2: Convert to fraction form
    70.59/105.86 = 27.26/x
  3. Step 3: Cross multiply
    70.59x = 105.86 × 27.26
  4. Step 4: Simplify right side
    70.59x = 2,885.74
  5. Step 5: Solve for x
    x = 2,885.74/70.59
  6. Step 6: Final answer
    x = 40.88

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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.