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Finding the Fourth Proportional to 94.74, 141.42 and 86.24

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Solution

The fourth proportional to 94.74, 141.42 and 86.24 is: 128.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.74 : 141.42 = 86.24 : x
  2. Step 2: Convert to fraction form
    94.74/141.42 = 86.24/x
  3. Step 3: Cross multiply
    94.74x = 141.42 × 86.24
  4. Step 4: Simplify right side
    94.74x = 12,196.06
  5. Step 5: Solve for x
    x = 12,196.06/94.74
  6. Step 6: Final answer
    x = 128.73

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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.