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Finding the Fourth Proportional to 102.11, 153.01 and 47.24

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Solution

The fourth proportional to 102.11, 153.01 and 47.24 is: 70.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.11 : 153.01 = 47.24 : x
  2. Step 2: Convert to fraction form
    102.11/153.01 = 47.24/x
  3. Step 3: Cross multiply
    102.11x = 153.01 × 47.24
  4. Step 4: Simplify right side
    102.11x = 7,227.31
  5. Step 5: Solve for x
    x = 7,227.31/102.11
  6. Step 6: Final answer
    x = 70.78

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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.