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Finding the Fourth Proportional to 131.70, 197.24 and 104.66

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Solution

The fourth proportional to 131.70, 197.24 and 104.66 is: 156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.70 : 197.24 = 104.66 : x
  2. Step 2: Convert to fraction form
    131.70/197.24 = 104.66/x
  3. Step 3: Cross multiply
    131.70x = 197.24 × 104.66
  4. Step 4: Simplify right side
    131.70x = 20,643.14
  5. Step 5: Solve for x
    x = 20,643.14/131.70
  6. Step 6: Final answer
    x = 156.74

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