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Finding the Fourth Proportional to 122.16, 182.86 and 86.06

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Solution

The fourth proportional to 122.16, 182.86 and 86.06 is: 128.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.16 : 182.86 = 86.06 : x
  2. Step 2: Convert to fraction form
    122.16/182.86 = 86.06/x
  3. Step 3: Cross multiply
    122.16x = 182.86 × 86.06
  4. Step 4: Simplify right side
    122.16x = 15,736.93
  5. Step 5: Solve for x
    x = 15,736.93/122.16
  6. Step 6: Final answer
    x = 128.82

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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.