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Finding the Fourth Proportional to 130.36, 180.07 and 121.13

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Solution

The fourth proportional to 130.36, 180.07 and 121.13 is: 167.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.36 : 180.07 = 121.13 : x
  2. Step 2: Convert to fraction form
    130.36/180.07 = 121.13/x
  3. Step 3: Cross multiply
    130.36x = 180.07 × 121.13
  4. Step 4: Simplify right side
    130.36x = 21,811.88
  5. Step 5: Solve for x
    x = 21,811.88/130.36
  6. Step 6: Final answer
    x = 167.33

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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.