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Finding the Fourth Proportional to 131.13, 180.83 and 78.66

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Solution

The fourth proportional to 131.13, 180.83 and 78.66 is: 108.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.13 : 180.83 = 78.66 : x
  2. Step 2: Convert to fraction form
    131.13/180.83 = 78.66/x
  3. Step 3: Cross multiply
    131.13x = 180.83 × 78.66
  4. Step 4: Simplify right side
    131.13x = 14,224.79
  5. Step 5: Solve for x
    x = 14,224.79/131.13
  6. Step 6: Final answer
    x = 108.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.