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Finding the Fourth Proportional to 94.18, 141.13 and 71.32

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Solution

The fourth proportional to 94.18, 141.13 and 71.32 is: 106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.18 : 141.13 = 71.32 : x
  2. Step 2: Convert to fraction form
    94.18/141.13 = 71.32/x
  3. Step 3: Cross multiply
    94.18x = 141.13 × 71.32
  4. Step 4: Simplify right side
    94.18x = 10,065.39
  5. Step 5: Solve for x
    x = 10,065.39/94.18
  6. Step 6: Final answer
    x = 106.87

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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.