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Finding the Fourth Proportional to 131.63, 181.04 and 115.22

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Solution

The fourth proportional to 131.63, 181.04 and 115.22 is: 158.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.63 : 181.04 = 115.22 : x
  2. Step 2: Convert to fraction form
    131.63/181.04 = 115.22/x
  3. Step 3: Cross multiply
    131.63x = 181.04 × 115.22
  4. Step 4: Simplify right side
    131.63x = 20,859.31
  5. Step 5: Solve for x
    x = 20,859.31/131.63
  6. Step 6: Final answer
    x = 158.48

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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.