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Finding the Fourth Proportional to 130.82, 180.28 and 111.38

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Solution

The fourth proportional to 130.82, 180.28 and 111.38 is: 153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.82 : 180.28 = 111.38 : x
  2. Step 2: Convert to fraction form
    130.82/180.28 = 111.38/x
  3. Step 3: Cross multiply
    130.82x = 180.28 × 111.38
  4. Step 4: Simplify right side
    130.82x = 20,079.59
  5. Step 5: Solve for x
    x = 20,079.59/130.82
  6. Step 6: Final answer
    x = 153.49

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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.