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Finding the Fourth Proportional to 86.61, 129.93 and 83.37

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Solution

The fourth proportional to 86.61, 129.93 and 83.37 is: 125.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.61 : 129.93 = 83.37 : x
  2. Step 2: Convert to fraction form
    86.61/129.93 = 83.37/x
  3. Step 3: Cross multiply
    86.61x = 129.93 × 83.37
  4. Step 4: Simplify right side
    86.61x = 10,832.26
  5. Step 5: Solve for x
    x = 10,832.26/86.61
  6. Step 6: Final answer
    x = 125.07

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