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Finding the Fourth Proportional to 101.58, 140.23 and 68.43

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Solution

The fourth proportional to 101.58, 140.23 and 68.43 is: 94.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.58 : 140.23 = 68.43 : x
  2. Step 2: Convert to fraction form
    101.58/140.23 = 68.43/x
  3. Step 3: Cross multiply
    101.58x = 140.23 × 68.43
  4. Step 4: Simplify right side
    101.58x = 9,595.60
  5. Step 5: Solve for x
    x = 9,595.60/101.58
  6. Step 6: Final answer
    x = 94.47

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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.