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Finding the Fourth Proportional to 131.38, 197.85 and 114.47

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Solution

The fourth proportional to 131.38, 197.85 and 114.47 is: 172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.38 : 197.85 = 114.47 : x
  2. Step 2: Convert to fraction form
    131.38/197.85 = 114.47/x
  3. Step 3: Cross multiply
    131.38x = 197.85 × 114.47
  4. Step 4: Simplify right side
    131.38x = 22,647.19
  5. Step 5: Solve for x
    x = 22,647.19/131.38
  6. Step 6: Final answer
    x = 172.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.