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Finding the Fourth Proportional to 129.22, 178.54 and 109.50

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Solution

The fourth proportional to 129.22, 178.54 and 109.50 is: 151.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.22 : 178.54 = 109.50 : x
  2. Step 2: Convert to fraction form
    129.22/178.54 = 109.50/x
  3. Step 3: Cross multiply
    129.22x = 178.54 × 109.50
  4. Step 4: Simplify right side
    129.22x = 19,550.13
  5. Step 5: Solve for x
    x = 19,550.13/129.22
  6. Step 6: Final answer
    x = 151.29

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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.