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Finding the Fourth Proportional to 102.27, 141.26 and 73.29

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Solution

The fourth proportional to 102.27, 141.26 and 73.29 is: 101.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.27 : 141.26 = 73.29 : x
  2. Step 2: Convert to fraction form
    102.27/141.26 = 73.29/x
  3. Step 3: Cross multiply
    102.27x = 141.26 × 73.29
  4. Step 4: Simplify right side
    102.27x = 10,352.58
  5. Step 5: Solve for x
    x = 10,352.58/102.27
  6. Step 6: Final answer
    x = 101.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.