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Finding the Fourth Proportional to 86.98, 119.90 and 66.19

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Solution

The fourth proportional to 86.98, 119.90 and 66.19 is: 91.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.98 : 119.90 = 66.19 : x
  2. Step 2: Convert to fraction form
    86.98/119.90 = 66.19/x
  3. Step 3: Cross multiply
    86.98x = 119.90 × 66.19
  4. Step 4: Simplify right side
    86.98x = 7,935.85
  5. Step 5: Solve for x
    x = 7,935.85/86.98
  6. Step 6: Final answer
    x = 91.24

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Why These Related Problems?

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