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Finding the Fourth Proportional to 131.66, 196.44 and 117.96

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Solution

The fourth proportional to 131.66, 196.44 and 117.96 is: 176.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.66 : 196.44 = 117.96 : x
  2. Step 2: Convert to fraction form
    131.66/196.44 = 117.96/x
  3. Step 3: Cross multiply
    131.66x = 196.44 × 117.96
  4. Step 4: Simplify right side
    131.66x = 23,172.06
  5. Step 5: Solve for x
    x = 23,172.06/131.66
  6. Step 6: Final answer
    x = 176.00

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Why These Related Problems?

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