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Finding the Fourth Proportional to 134.50, 185.07 and 101.62

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Solution

The fourth proportional to 134.50, 185.07 and 101.62 is: 139.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.50 : 185.07 = 101.62 : x
  2. Step 2: Convert to fraction form
    134.50/185.07 = 101.62/x
  3. Step 3: Cross multiply
    134.50x = 185.07 × 101.62
  4. Step 4: Simplify right side
    134.50x = 18,806.81
  5. Step 5: Solve for x
    x = 18,806.81/134.50
  6. Step 6: Final answer
    x = 139.83

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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.