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Finding the Fourth Proportional to 101.85, 140.52 and 85.26

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Solution

The fourth proportional to 101.85, 140.52 and 85.26 is: 117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.85 : 140.52 = 85.26 : x
  2. Step 2: Convert to fraction form
    101.85/140.52 = 85.26/x
  3. Step 3: Cross multiply
    101.85x = 140.52 × 85.26
  4. Step 4: Simplify right side
    101.85x = 11,980.74
  5. Step 5: Solve for x
    x = 11,980.74/101.85
  6. Step 6: Final answer
    x = 117.63

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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.