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Finding the Fourth Proportional to 94.13, 141.07 and 57.45

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Solution

The fourth proportional to 94.13, 141.07 and 57.45 is: 86.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.13 : 141.07 = 57.45 : x
  2. Step 2: Convert to fraction form
    94.13/141.07 = 57.45/x
  3. Step 3: Cross multiply
    94.13x = 141.07 × 57.45
  4. Step 4: Simplify right side
    94.13x = 8,104.96
  5. Step 5: Solve for x
    x = 8,104.96/94.13
  6. Step 6: Final answer
    x = 86.11

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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.