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Finding the Fourth Proportional to 85.12, 117.38 and 60.48

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Solution

The fourth proportional to 85.12, 117.38 and 60.48 is: 83.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.12 : 117.38 = 60.48 : x
  2. Step 2: Convert to fraction form
    85.12/117.38 = 60.48/x
  3. Step 3: Cross multiply
    85.12x = 117.38 × 60.48
  4. Step 4: Simplify right side
    85.12x = 7,099.29
  5. Step 5: Solve for x
    x = 7,099.29/85.12
  6. Step 6: Final answer
    x = 83.41

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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.