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Finding the Fourth Proportional to 94.14, 141.16 and 55.63

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Solution

The fourth proportional to 94.14, 141.16 and 55.63 is: 83.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.14 : 141.16 = 55.63 : x
  2. Step 2: Convert to fraction form
    94.14/141.16 = 55.63/x
  3. Step 3: Cross multiply
    94.14x = 141.16 × 55.63
  4. Step 4: Simplify right side
    94.14x = 7,852.73
  5. Step 5: Solve for x
    x = 7,852.73/94.14
  6. Step 6: Final answer
    x = 83.42

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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.