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Finding the Fourth Proportional to 85.57, 117.90 and 60.97

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Solution

The fourth proportional to 85.57, 117.90 and 60.97 is: 84.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.57 : 117.90 = 60.97 : x
  2. Step 2: Convert to fraction form
    85.57/117.90 = 60.97/x
  3. Step 3: Cross multiply
    85.57x = 117.90 × 60.97
  4. Step 4: Simplify right side
    85.57x = 7,188.36
  5. Step 5: Solve for x
    x = 7,188.36/85.57
  6. Step 6: Final answer
    x = 84.01

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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.