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Finding the Fourth Proportional to 86.00, 129.11 and 77.30

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Solution

The fourth proportional to 86.00, 129.11 and 77.30 is: 116.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.00 : 129.11 = 77.30 : x
  2. Step 2: Convert to fraction form
    86.00/129.11 = 77.30/x
  3. Step 3: Cross multiply
    86.00x = 129.11 × 77.30
  4. Step 4: Simplify right side
    86.00x = 9,979.17
  5. Step 5: Solve for x
    x = 9,979.17/86.00
  6. Step 6: Final answer
    x = 116.03

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Why These Related Problems?

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