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Finding the Fourth Proportional to 85.01, 117.38 and 76.24

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Solution

The fourth proportional to 85.01, 117.38 and 76.24 is: 105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.01 : 117.38 = 76.24 : x
  2. Step 2: Convert to fraction form
    85.01/117.38 = 76.24/x
  3. Step 3: Cross multiply
    85.01x = 117.38 × 76.24
  4. Step 4: Simplify right side
    85.01x = 8,949.05
  5. Step 5: Solve for x
    x = 8,949.05/85.01
  6. Step 6: Final answer
    x = 105.27

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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.