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Finding the Fourth Proportional to 134.70, 185.81 and 101.89

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Solution

The fourth proportional to 134.70, 185.81 and 101.89 is: 140.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.70 : 185.81 = 101.89 : x
  2. Step 2: Convert to fraction form
    134.70/185.81 = 101.89/x
  3. Step 3: Cross multiply
    134.70x = 185.81 × 101.89
  4. Step 4: Simplify right side
    134.70x = 18,932.48
  5. Step 5: Solve for x
    x = 18,932.48/134.70
  6. Step 6: Final answer
    x = 140.56

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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.