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Finding the Fourth Proportional to 131.14, 180.98 and 78.70

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Solution

The fourth proportional to 131.14, 180.98 and 78.70 is: 108.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.14 : 180.98 = 78.70 : x
  2. Step 2: Convert to fraction form
    131.14/180.98 = 78.70/x
  3. Step 3: Cross multiply
    131.14x = 180.98 × 78.70
  4. Step 4: Simplify right side
    131.14x = 14,241.83
  5. Step 5: Solve for x
    x = 14,241.83/131.14
  6. Step 6: Final answer
    x = 108.60

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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.