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Finding the Fourth Proportional to 109.14, 150.52 and 103.06

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Solution

The fourth proportional to 109.14, 150.52 and 103.06 is: 142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.14 : 150.52 = 103.06 : x
  2. Step 2: Convert to fraction form
    109.14/150.52 = 103.06/x
  3. Step 3: Cross multiply
    109.14x = 150.52 × 103.06
  4. Step 4: Simplify right side
    109.14x = 15,512.59
  5. Step 5: Solve for x
    x = 15,512.59/109.14
  6. Step 6: Final answer
    x = 142.13

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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.