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Finding the Fourth Proportional to 94.21, 140.62 and 91.64

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Solution

The fourth proportional to 94.21, 140.62 and 91.64 is: 136.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.21 : 140.62 = 91.64 : x
  2. Step 2: Convert to fraction form
    94.21/140.62 = 91.64/x
  3. Step 3: Cross multiply
    94.21x = 140.62 × 91.64
  4. Step 4: Simplify right side
    94.21x = 12,886.42
  5. Step 5: Solve for x
    x = 12,886.42/94.21
  6. Step 6: Final answer
    x = 136.78

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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.