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Finding the Fourth Proportional to 131.16, 180.94 and 78.69

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Solution

The fourth proportional to 131.16, 180.94 and 78.69 is: 108.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.16 : 180.94 = 78.69 : x
  2. Step 2: Convert to fraction form
    131.16/180.94 = 78.69/x
  3. Step 3: Cross multiply
    131.16x = 180.94 × 78.69
  4. Step 4: Simplify right side
    131.16x = 14,238.17
  5. Step 5: Solve for x
    x = 14,238.17/131.16
  6. Step 6: Final answer
    x = 108.56

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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.