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Finding the Fourth Proportional to 85.60, 118.08 and 84.34

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Solution

The fourth proportional to 85.60, 118.08 and 84.34 is: 116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.60 : 118.08 = 84.34 : x
  2. Step 2: Convert to fraction form
    85.60/118.08 = 84.34/x
  3. Step 3: Cross multiply
    85.60x = 118.08 × 84.34
  4. Step 4: Simplify right side
    85.60x = 9,958.87
  5. Step 5: Solve for x
    x = 9,958.87/85.60
  6. Step 6: Final answer
    x = 116.34

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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.