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Finding the Fourth Proportional to 85.08, 117.26 and 74.02

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Solution

The fourth proportional to 85.08, 117.26 and 74.02 is: 102.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.08 : 117.26 = 74.02 : x
  2. Step 2: Convert to fraction form
    85.08/117.26 = 74.02/x
  3. Step 3: Cross multiply
    85.08x = 117.26 × 74.02
  4. Step 4: Simplify right side
    85.08x = 8,679.59
  5. Step 5: Solve for x
    x = 8,679.59/85.08
  6. Step 6: Final answer
    x = 102.02

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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.