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Finding the Fourth Proportional to 130.80, 180.26 and 103.14

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Solution

The fourth proportional to 130.80, 180.26 and 103.14 is: 142.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.80 : 180.26 = 103.14 : x
  2. Step 2: Convert to fraction form
    130.80/180.26 = 103.14/x
  3. Step 3: Cross multiply
    130.80x = 180.26 × 103.14
  4. Step 4: Simplify right side
    130.80x = 18,592.02
  5. Step 5: Solve for x
    x = 18,592.02/130.80
  6. Step 6: Final answer
    x = 142.14

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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.