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Finding the Fourth Proportional to 130.32, 180.09 and 106.97

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Solution

The fourth proportional to 130.32, 180.09 and 106.97 is: 147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.32 : 180.09 = 106.97 : x
  2. Step 2: Convert to fraction form
    130.32/180.09 = 106.97/x
  3. Step 3: Cross multiply
    130.32x = 180.09 × 106.97
  4. Step 4: Simplify right side
    130.32x = 19,263.33
  5. Step 5: Solve for x
    x = 19,263.33/130.32
  6. Step 6: Final answer
    x = 147.82

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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.