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Finding the Fourth Proportional to 120.72, 182.12 and 120.72

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Solution

The fourth proportional to 120.72, 182.12 and 120.72 is: 182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.72 : 182.12 = 120.72 : x
  2. Step 2: Convert to fraction form
    120.72/182.12 = 120.72/x
  3. Step 3: Cross multiply
    120.72x = 182.12 × 120.72
  4. Step 4: Simplify right side
    120.72x = 21,985.53
  5. Step 5: Solve for x
    x = 21,985.53/120.72
  6. Step 6: Final answer
    x = 182.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.