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Finding the Fourth Proportional to 131.32, 181.74 and 112.96

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Solution

The fourth proportional to 131.32, 181.74 and 112.96 is: 156.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.32 : 181.74 = 112.96 : x
  2. Step 2: Convert to fraction form
    131.32/181.74 = 112.96/x
  3. Step 3: Cross multiply
    131.32x = 181.74 × 112.96
  4. Step 4: Simplify right side
    131.32x = 20,529.35
  5. Step 5: Solve for x
    x = 20,529.35/131.32
  6. Step 6: Final answer
    x = 156.33

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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.