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Finding the Fourth Proportional to 131.34, 181.20 and 117.14

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Solution

The fourth proportional to 131.34, 181.20 and 117.14 is: 161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.34 : 181.20 = 117.14 : x
  2. Step 2: Convert to fraction form
    131.34/181.20 = 117.14/x
  3. Step 3: Cross multiply
    131.34x = 181.20 × 117.14
  4. Step 4: Simplify right side
    131.34x = 21,225.48
  5. Step 5: Solve for x
    x = 21,225.48/131.34
  6. Step 6: Final answer
    x = 161.61

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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.