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Finding the Fourth Proportional to 80.58, 110.94 and 61.14

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Solution

The fourth proportional to 80.58, 110.94 and 61.14 is: 84.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.58 : 110.94 = 61.14 : x
  2. Step 2: Convert to fraction form
    80.58/110.94 = 61.14/x
  3. Step 3: Cross multiply
    80.58x = 110.94 × 61.14
  4. Step 4: Simplify right side
    80.58x = 6,782.87
  5. Step 5: Solve for x
    x = 6,782.87/80.58
  6. Step 6: Final answer
    x = 84.18

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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.