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Finding the Fourth Proportional to 86.26, 129.45 and 55.75

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Solution

The fourth proportional to 86.26, 129.45 and 55.75 is: 83.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.26 : 129.45 = 55.75 : x
  2. Step 2: Convert to fraction form
    86.26/129.45 = 55.75/x
  3. Step 3: Cross multiply
    86.26x = 129.45 × 55.75
  4. Step 4: Simplify right side
    86.26x = 7,216.84
  5. Step 5: Solve for x
    x = 7,216.84/86.26
  6. Step 6: Final answer
    x = 83.66

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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.