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Finding the Fourth Proportional to 102.41, 153.43 and 94.43

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Solution

The fourth proportional to 102.41, 153.43 and 94.43 is: 141.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.41 : 153.43 = 94.43 : x
  2. Step 2: Convert to fraction form
    102.41/153.43 = 94.43/x
  3. Step 3: Cross multiply
    102.41x = 153.43 × 94.43
  4. Step 4: Simplify right side
    102.41x = 14,488.54
  5. Step 5: Solve for x
    x = 14,488.54/102.41
  6. Step 6: Final answer
    x = 141.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.