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Finding the Fourth Proportional to 101.78, 140.49 and 60.32

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Solution

The fourth proportional to 101.78, 140.49 and 60.32 is: 83.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.78 : 140.49 = 60.32 : x
  2. Step 2: Convert to fraction form
    101.78/140.49 = 60.32/x
  3. Step 3: Cross multiply
    101.78x = 140.49 × 60.32
  4. Step 4: Simplify right side
    101.78x = 8,474.48
  5. Step 5: Solve for x
    x = 8,474.48/101.78
  6. Step 6: Final answer
    x = 83.26

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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.