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Finding the Fourth Proportional to 85.02, 116.96 and 74.09

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Solution

The fourth proportional to 85.02, 116.96 and 74.09 is: 101.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.02 : 116.96 = 74.09 : x
  2. Step 2: Convert to fraction form
    85.02/116.96 = 74.09/x
  3. Step 3: Cross multiply
    85.02x = 116.96 × 74.09
  4. Step 4: Simplify right side
    85.02x = 8,664.61
  5. Step 5: Solve for x
    x = 8,664.61/85.02
  6. Step 6: Final answer
    x = 101.91

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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.