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Finding the Fourth Proportional to 131.60, 181.67 and 108.34

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Solution

The fourth proportional to 131.60, 181.67 and 108.34 is: 149.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.60 : 181.67 = 108.34 : x
  2. Step 2: Convert to fraction form
    131.60/181.67 = 108.34/x
  3. Step 3: Cross multiply
    131.60x = 181.67 × 108.34
  4. Step 4: Simplify right side
    131.60x = 19,682.13
  5. Step 5: Solve for x
    x = 19,682.13/131.60
  6. Step 6: Final answer
    x = 149.56

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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.