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Finding the Fourth Proportional to 94.06, 140.32 and 86.22

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Solution

The fourth proportional to 94.06, 140.32 and 86.22 is: 128.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.06 : 140.32 = 86.22 : x
  2. Step 2: Convert to fraction form
    94.06/140.32 = 86.22/x
  3. Step 3: Cross multiply
    94.06x = 140.32 × 86.22
  4. Step 4: Simplify right side
    94.06x = 12,098.39
  5. Step 5: Solve for x
    x = 12,098.39/94.06
  6. Step 6: Final answer
    x = 128.62

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Why These Related Problems?

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