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Finding the Fourth Proportional to 130.50, 180.16 and 104.22

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Solution

The fourth proportional to 130.50, 180.16 and 104.22 is: 143.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.50 : 180.16 = 104.22 : x
  2. Step 2: Convert to fraction form
    130.50/180.16 = 104.22/x
  3. Step 3: Cross multiply
    130.50x = 180.16 × 104.22
  4. Step 4: Simplify right side
    130.50x = 18,777.21
  5. Step 5: Solve for x
    x = 18,777.21/130.50
  6. Step 6: Final answer
    x = 143.89

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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.