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Finding the Fourth Proportional to 130.36, 180.10 and 104.44

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Solution

The fourth proportional to 130.36, 180.10 and 104.44 is: 144.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.36 : 180.10 = 104.44 : x
  2. Step 2: Convert to fraction form
    130.36/180.10 = 104.44/x
  3. Step 3: Cross multiply
    130.36x = 180.10 × 104.44
  4. Step 4: Simplify right side
    130.36x = 18,809.64
  5. Step 5: Solve for x
    x = 18,809.64/130.36
  6. Step 6: Final answer
    x = 144.29

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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.