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Finding the Fourth Proportional to 102.41, 153.44 and 71.92

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Solution

The fourth proportional to 102.41, 153.44 and 71.92 is: 107.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.41 : 153.44 = 71.92 : x
  2. Step 2: Convert to fraction form
    102.41/153.44 = 71.92/x
  3. Step 3: Cross multiply
    102.41x = 153.44 × 71.92
  4. Step 4: Simplify right side
    102.41x = 11,034.28
  5. Step 5: Solve for x
    x = 11,034.28/102.41
  6. Step 6: Final answer
    x = 107.75

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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.