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Finding the Fourth Proportional to 109.97, 151.78 and 103.37

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Solution

The fourth proportional to 109.97, 151.78 and 103.37 is: 142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.97 : 151.78 = 103.37 : x
  2. Step 2: Convert to fraction form
    109.97/151.78 = 103.37/x
  3. Step 3: Cross multiply
    109.97x = 151.78 × 103.37
  4. Step 4: Simplify right side
    109.97x = 15,689.50
  5. Step 5: Solve for x
    x = 15,689.50/109.97
  6. Step 6: Final answer
    x = 142.67

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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.