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Finding the Fourth Proportional to 131.66, 181.70 and 96.22

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Solution

The fourth proportional to 131.66, 181.70 and 96.22 is: 132.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.66 : 181.70 = 96.22 : x
  2. Step 2: Convert to fraction form
    131.66/181.70 = 96.22/x
  3. Step 3: Cross multiply
    131.66x = 181.70 × 96.22
  4. Step 4: Simplify right side
    131.66x = 17,483.17
  5. Step 5: Solve for x
    x = 17,483.17/131.66
  6. Step 6: Final answer
    x = 132.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.