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Finding the Fourth Proportional to 131.16, 180.59 and 118.86

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Solution

The fourth proportional to 131.16, 180.59 and 118.86 is: 163.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.16 : 180.59 = 118.86 : x
  2. Step 2: Convert to fraction form
    131.16/180.59 = 118.86/x
  3. Step 3: Cross multiply
    131.16x = 180.59 × 118.86
  4. Step 4: Simplify right side
    131.16x = 21,464.93
  5. Step 5: Solve for x
    x = 21,464.93/131.16
  6. Step 6: Final answer
    x = 163.65

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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.