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Finding the Fourth Proportional to 101.86, 140.32 and 77.29

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Solution

The fourth proportional to 101.86, 140.32 and 77.29 is: 106.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.86 : 140.32 = 77.29 : x
  2. Step 2: Convert to fraction form
    101.86/140.32 = 77.29/x
  3. Step 3: Cross multiply
    101.86x = 140.32 × 77.29
  4. Step 4: Simplify right side
    101.86x = 10,845.33
  5. Step 5: Solve for x
    x = 10,845.33/101.86
  6. Step 6: Final answer
    x = 106.47

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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.