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Finding the Fourth Proportional to 130.57, 180.24 and 105.96

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Solution

The fourth proportional to 130.57, 180.24 and 105.96 is: 146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.57 : 180.24 = 105.96 : x
  2. Step 2: Convert to fraction form
    130.57/180.24 = 105.96/x
  3. Step 3: Cross multiply
    130.57x = 180.24 × 105.96
  4. Step 4: Simplify right side
    130.57x = 19,099.30
  5. Step 5: Solve for x
    x = 19,099.30/130.57
  6. Step 6: Final answer
    x = 146.28

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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.