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Finding the Fourth Proportional to 94.57, 141.82 and 64.16

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Solution

The fourth proportional to 94.57, 141.82 and 64.16 is: 96.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.57 : 141.82 = 64.16 : x
  2. Step 2: Convert to fraction form
    94.57/141.82 = 64.16/x
  3. Step 3: Cross multiply
    94.57x = 141.82 × 64.16
  4. Step 4: Simplify right side
    94.57x = 9,098.83
  5. Step 5: Solve for x
    x = 9,098.83/94.57
  6. Step 6: Final answer
    x = 96.22

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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.