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Finding the Fourth Proportional to 131.72, 181.68 and 107.12

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Solution

The fourth proportional to 131.72, 181.68 and 107.12 is: 147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.72 : 181.68 = 107.12 : x
  2. Step 2: Convert to fraction form
    131.72/181.68 = 107.12/x
  3. Step 3: Cross multiply
    131.72x = 181.68 × 107.12
  4. Step 4: Simplify right side
    131.72x = 19,461.56
  5. Step 5: Solve for x
    x = 19,461.56/131.72
  6. Step 6: Final answer
    x = 147.75

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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.