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Finding the Fourth Proportional to 94.32, 141.42 and 36.50

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Solution

The fourth proportional to 94.32, 141.42 and 36.50 is: 54.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.32 : 141.42 = 36.50 : x
  2. Step 2: Convert to fraction form
    94.32/141.42 = 36.50/x
  3. Step 3: Cross multiply
    94.32x = 141.42 × 36.50
  4. Step 4: Simplify right side
    94.32x = 5,161.04
  5. Step 5: Solve for x
    x = 5,161.04/94.32
  6. Step 6: Final answer
    x = 54.72

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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.