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Finding the Fourth Proportional to 131.85, 197.37 and 77.58

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Solution

The fourth proportional to 131.85, 197.37 and 77.58 is: 116.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.85 : 197.37 = 77.58 : x
  2. Step 2: Convert to fraction form
    131.85/197.37 = 77.58/x
  3. Step 3: Cross multiply
    131.85x = 197.37 × 77.58
  4. Step 4: Simplify right side
    131.85x = 15,311.96
  5. Step 5: Solve for x
    x = 15,311.96/131.85
  6. Step 6: Final answer
    x = 116.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.