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Finding the Fourth Proportional to 103.72, 141.43 and 101.29

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Solution

The fourth proportional to 103.72, 141.43 and 101.29 is: 138.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.72 : 141.43 = 101.29 : x
  2. Step 2: Convert to fraction form
    103.72/141.43 = 101.29/x
  3. Step 3: Cross multiply
    103.72x = 141.43 × 101.29
  4. Step 4: Simplify right side
    103.72x = 14,325.44
  5. Step 5: Solve for x
    x = 14,325.44/103.72
  6. Step 6: Final answer
    x = 138.12

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.