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Finding the Fourth Proportional to 86.72, 119.76 and 66.05

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Solution

The fourth proportional to 86.72, 119.76 and 66.05 is: 91.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.72 : 119.76 = 66.05 : x
  2. Step 2: Convert to fraction form
    86.72/119.76 = 66.05/x
  3. Step 3: Cross multiply
    86.72x = 119.76 × 66.05
  4. Step 4: Simplify right side
    86.72x = 7,909.75
  5. Step 5: Solve for x
    x = 7,909.75/86.72
  6. Step 6: Final answer
    x = 91.22

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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.