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Finding the Fourth Proportional to 102.46, 153.67 and 38.29

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Solution

The fourth proportional to 102.46, 153.67 and 38.29 is: 57.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.46 : 153.67 = 38.29 : x
  2. Step 2: Convert to fraction form
    102.46/153.67 = 38.29/x
  3. Step 3: Cross multiply
    102.46x = 153.67 × 38.29
  4. Step 4: Simplify right side
    102.46x = 5,884.02
  5. Step 5: Solve for x
    x = 5,884.02/102.46
  6. Step 6: Final answer
    x = 57.43

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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.