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Finding the Fourth Proportional to 86.06, 129.08 and 34.69

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Solution

The fourth proportional to 86.06, 129.08 and 34.69 is: 52.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.06 : 129.08 = 34.69 : x
  2. Step 2: Convert to fraction form
    86.06/129.08 = 34.69/x
  3. Step 3: Cross multiply
    86.06x = 129.08 × 34.69
  4. Step 4: Simplify right side
    86.06x = 4,477.97
  5. Step 5: Solve for x
    x = 4,477.97/86.06
  6. Step 6: Final answer
    x = 52.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.