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Finding the Fourth Proportional to 130.82, 181.05 and 112.46

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Solution

The fourth proportional to 130.82, 181.05 and 112.46 is: 155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.82 : 181.05 = 112.46 : x
  2. Step 2: Convert to fraction form
    130.82/181.05 = 112.46/x
  3. Step 3: Cross multiply
    130.82x = 181.05 × 112.46
  4. Step 4: Simplify right side
    130.82x = 20,360.88
  5. Step 5: Solve for x
    x = 20,360.88/130.82
  6. Step 6: Final answer
    x = 155.64

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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.