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Finding the Fourth Proportional to 94.70, 141.46 and 87.84

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Solution

The fourth proportional to 94.70, 141.46 and 87.84 is: 131.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.70 : 141.46 = 87.84 : x
  2. Step 2: Convert to fraction form
    94.70/141.46 = 87.84/x
  3. Step 3: Cross multiply
    94.70x = 141.46 × 87.84
  4. Step 4: Simplify right side
    94.70x = 12,425.85
  5. Step 5: Solve for x
    x = 12,425.85/94.70
  6. Step 6: Final answer
    x = 131.21

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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.