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Finding the Fourth Proportional to 94.43, 141.47 and 65.57

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Solution

The fourth proportional to 94.43, 141.47 and 65.57 is: 98.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.43 : 141.47 = 65.57 : x
  2. Step 2: Convert to fraction form
    94.43/141.47 = 65.57/x
  3. Step 3: Cross multiply
    94.43x = 141.47 × 65.57
  4. Step 4: Simplify right side
    94.43x = 9,275.15
  5. Step 5: Solve for x
    x = 9,275.15/94.43
  6. Step 6: Final answer
    x = 98.23

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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.