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Finding the Fourth Proportional to 101.81, 140.41 and 85.16

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Solution

The fourth proportional to 101.81, 140.41 and 85.16 is: 117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.81 : 140.41 = 85.16 : x
  2. Step 2: Convert to fraction form
    101.81/140.41 = 85.16/x
  3. Step 3: Cross multiply
    101.81x = 140.41 × 85.16
  4. Step 4: Simplify right side
    101.81x = 11,957.32
  5. Step 5: Solve for x
    x = 11,957.32/101.81
  6. Step 6: Final answer
    x = 117.45

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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.