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Finding the Fourth Proportional to 129.15, 177.44 and 104.51

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Solution

The fourth proportional to 129.15, 177.44 and 104.51 is: 143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.15 : 177.44 = 104.51 : x
  2. Step 2: Convert to fraction form
    129.15/177.44 = 104.51/x
  3. Step 3: Cross multiply
    129.15x = 177.44 × 104.51
  4. Step 4: Simplify right side
    129.15x = 18,544.18
  5. Step 5: Solve for x
    x = 18,544.18/129.15
  6. Step 6: Final answer
    x = 143.59

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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.