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Finding the Fourth Proportional to 342.61, 513.92 and 86.11

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Solution

The fourth proportional to 342.61, 513.92 and 86.11 is: 129.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.61 : 513.92 = 86.11 : x
  2. Step 2: Convert to fraction form
    342.61/513.92 = 86.11/x
  3. Step 3: Cross multiply
    342.61x = 513.92 × 86.11
  4. Step 4: Simplify right side
    342.61x = 44,251.94
  5. Step 5: Solve for x
    x = 44,251.94/342.61
  6. Step 6: Final answer
    x = 129.16

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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.