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Finding the Fourth Proportional to 86.12, 129.06 and 71.77

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Solution

The fourth proportional to 86.12, 129.06 and 71.77 is: 107.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.12 : 129.06 = 71.77 : x
  2. Step 2: Convert to fraction form
    86.12/129.06 = 71.77/x
  3. Step 3: Cross multiply
    86.12x = 129.06 × 71.77
  4. Step 4: Simplify right side
    86.12x = 9,261.99
  5. Step 5: Solve for x
    x = 9,261.99/86.12
  6. Step 6: Final answer
    x = 107.55

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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.