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Finding the Fourth Proportional to 131.46, 196.17 and 117.79

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Solution

The fourth proportional to 131.46, 196.17 and 117.79 is: 175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.46 : 196.17 = 117.79 : x
  2. Step 2: Convert to fraction form
    131.46/196.17 = 117.79/x
  3. Step 3: Cross multiply
    131.46x = 196.17 × 117.79
  4. Step 4: Simplify right side
    131.46x = 23,106.86
  5. Step 5: Solve for x
    x = 23,106.86/131.46
  6. Step 6: Final answer
    x = 175.77

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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.