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Finding the Fourth Proportional to 131.90, 197.60 and 117.60

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Solution

The fourth proportional to 131.90, 197.60 and 117.60 is: 176.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.90 : 197.60 = 117.60 : x
  2. Step 2: Convert to fraction form
    131.90/197.60 = 117.60/x
  3. Step 3: Cross multiply
    131.90x = 197.60 × 117.60
  4. Step 4: Simplify right side
    131.90x = 23,236.43
  5. Step 5: Solve for x
    x = 23,236.43/131.90
  6. Step 6: Final answer
    x = 176.17

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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.