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Finding the Fourth Proportional to 131.37, 181.32 and 76.12

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Solution

The fourth proportional to 131.37, 181.32 and 76.12 is: 105.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.37 : 181.32 = 76.12 : x
  2. Step 2: Convert to fraction form
    131.37/181.32 = 76.12/x
  3. Step 3: Cross multiply
    131.37x = 181.32 × 76.12
  4. Step 4: Simplify right side
    131.37x = 13,801.63
  5. Step 5: Solve for x
    x = 13,801.63/131.37
  6. Step 6: Final answer
    x = 105.06

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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.