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Finding the Fourth Proportional to 86.31, 129.35 and 47.77

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Solution

The fourth proportional to 86.31, 129.35 and 47.77 is: 71.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.31 : 129.35 = 47.77 : x
  2. Step 2: Convert to fraction form
    86.31/129.35 = 47.77/x
  3. Step 3: Cross multiply
    86.31x = 129.35 × 47.77
  4. Step 4: Simplify right side
    86.31x = 6,179.05
  5. Step 5: Solve for x
    x = 6,179.05/86.31
  6. Step 6: Final answer
    x = 71.59

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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.