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Finding the Fourth Proportional to 94.50, 141.46 and 53.32

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Solution

The fourth proportional to 94.50, 141.46 and 53.32 is: 79.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.50 : 141.46 = 53.32 : x
  2. Step 2: Convert to fraction form
    94.50/141.46 = 53.32/x
  3. Step 3: Cross multiply
    94.50x = 141.46 × 53.32
  4. Step 4: Simplify right side
    94.50x = 7,542.65
  5. Step 5: Solve for x
    x = 7,542.65/94.50
  6. Step 6: Final answer
    x = 79.82

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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.