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Finding the Fourth Proportional to 94.17, 141.47 and 57.71

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Solution

The fourth proportional to 94.17, 141.47 and 57.71 is: 86.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.17 : 141.47 = 57.71 : x
  2. Step 2: Convert to fraction form
    94.17/141.47 = 57.71/x
  3. Step 3: Cross multiply
    94.17x = 141.47 × 57.71
  4. Step 4: Simplify right side
    94.17x = 8,163.24
  5. Step 5: Solve for x
    x = 8,163.24/94.17
  6. Step 6: Final answer
    x = 86.69

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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.