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Finding the Fourth Proportional to 131.54, 196.35 and 117.87

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Solution

The fourth proportional to 131.54, 196.35 and 117.87 is: 175.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.54 : 196.35 = 117.87 : x
  2. Step 2: Convert to fraction form
    131.54/196.35 = 117.87/x
  3. Step 3: Cross multiply
    131.54x = 196.35 × 117.87
  4. Step 4: Simplify right side
    131.54x = 23,143.77
  5. Step 5: Solve for x
    x = 23,143.77/131.54
  6. Step 6: Final answer
    x = 175.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.