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Finding the Fourth Proportional to 134.73, 185.76 and 102.06

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Solution

The fourth proportional to 134.73, 185.76 and 102.06 is: 140.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.73 : 185.76 = 102.06 : x
  2. Step 2: Convert to fraction form
    134.73/185.76 = 102.06/x
  3. Step 3: Cross multiply
    134.73x = 185.76 × 102.06
  4. Step 4: Simplify right side
    134.73x = 18,958.67
  5. Step 5: Solve for x
    x = 18,958.67/134.73
  6. Step 6: Final answer
    x = 140.72

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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.