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Finding the Fourth Proportional to 86.24, 128.74 and 83.00

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Solution

The fourth proportional to 86.24, 128.74 and 83.00 is: 123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.24 : 128.74 = 83.00 : x
  2. Step 2: Convert to fraction form
    86.24/128.74 = 83.00/x
  3. Step 3: Cross multiply
    86.24x = 128.74 × 83.00
  4. Step 4: Simplify right side
    86.24x = 10,684.88
  5. Step 5: Solve for x
    x = 10,684.88/86.24
  6. Step 6: Final answer
    x = 123.90

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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.