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Finding the Fourth Proportional to 86.08, 128.29 and 83.59

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Solution

The fourth proportional to 86.08, 128.29 and 83.59 is: 124.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.08 : 128.29 = 83.59 : x
  2. Step 2: Convert to fraction form
    86.08/128.29 = 83.59/x
  3. Step 3: Cross multiply
    86.08x = 128.29 × 83.59
  4. Step 4: Simplify right side
    86.08x = 10,723.76
  5. Step 5: Solve for x
    x = 10,723.76/86.08
  6. Step 6: Final answer
    x = 124.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.