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Finding the Fourth Proportional to 129.06, 177.82 and 115.21

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Solution

The fourth proportional to 129.06, 177.82 and 115.21 is: 158.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.06 : 177.82 = 115.21 : x
  2. Step 2: Convert to fraction form
    129.06/177.82 = 115.21/x
  3. Step 3: Cross multiply
    129.06x = 177.82 × 115.21
  4. Step 4: Simplify right side
    129.06x = 20,486.64
  5. Step 5: Solve for x
    x = 20,486.64/129.06
  6. Step 6: Final answer
    x = 158.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.