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Finding the Fourth Proportional to 101.95, 140.37 and 91.31

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Solution

The fourth proportional to 101.95, 140.37 and 91.31 is: 125.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.95 : 140.37 = 91.31 : x
  2. Step 2: Convert to fraction form
    101.95/140.37 = 91.31/x
  3. Step 3: Cross multiply
    101.95x = 140.37 × 91.31
  4. Step 4: Simplify right side
    101.95x = 12,816.48
  5. Step 5: Solve for x
    x = 12,816.48/101.95
  6. Step 6: Final answer
    x = 125.72

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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.