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Finding the Fourth Proportional to 85.37, 117.16 and 76.42

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Solution

The fourth proportional to 85.37, 117.16 and 76.42 is: 104.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.37 : 117.16 = 76.42 : x
  2. Step 2: Convert to fraction form
    85.37/117.16 = 76.42/x
  3. Step 3: Cross multiply
    85.37x = 117.16 × 76.42
  4. Step 4: Simplify right side
    85.37x = 8,953.32
  5. Step 5: Solve for x
    x = 8,953.32/85.37
  6. Step 6: Final answer
    x = 104.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.