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Finding the Fourth Proportional to 131.08, 180.86 and 72.84

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Solution

The fourth proportional to 131.08, 180.86 and 72.84 is: 100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.08 : 180.86 = 72.84 : x
  2. Step 2: Convert to fraction form
    131.08/180.86 = 72.84/x
  3. Step 3: Cross multiply
    131.08x = 180.86 × 72.84
  4. Step 4: Simplify right side
    131.08x = 13,173.84
  5. Step 5: Solve for x
    x = 13,173.84/131.08
  6. Step 6: Final answer
    x = 100.50

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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.