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Finding the Fourth Proportional to 109.05, 150.50 and 59.93

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Solution

The fourth proportional to 109.05, 150.50 and 59.93 is: 82.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.05 : 150.50 = 59.93 : x
  2. Step 2: Convert to fraction form
    109.05/150.50 = 59.93/x
  3. Step 3: Cross multiply
    109.05x = 150.50 × 59.93
  4. Step 4: Simplify right side
    109.05x = 9,019.68
  5. Step 5: Solve for x
    x = 9,019.68/109.05
  6. Step 6: Final answer
    x = 82.71

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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.