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Finding the Fourth Proportional to 131.14, 180.95 and 78.67

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Solution

The fourth proportional to 131.14, 180.95 and 78.67 is: 108.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.14 : 180.95 = 78.67 : x
  2. Step 2: Convert to fraction form
    131.14/180.95 = 78.67/x
  3. Step 3: Cross multiply
    131.14x = 180.95 × 78.67
  4. Step 4: Simplify right side
    131.14x = 14,235.34
  5. Step 5: Solve for x
    x = 14,235.34/131.14
  6. Step 6: Final answer
    x = 108.55

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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.