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Finding the Fourth Proportional to 129.06, 177.26 and 122.45

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Solution

The fourth proportional to 129.06, 177.26 and 122.45 is: 168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.06 : 177.26 = 122.45 : x
  2. Step 2: Convert to fraction form
    129.06/177.26 = 122.45/x
  3. Step 3: Cross multiply
    129.06x = 177.26 × 122.45
  4. Step 4: Simplify right side
    129.06x = 21,703.99
  5. Step 5: Solve for x
    x = 21,703.99/129.06
  6. Step 6: Final answer
    x = 168.17

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.