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Finding the Fourth Proportional to 130.34, 180.09 and 109.31

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Solution

The fourth proportional to 130.34, 180.09 and 109.31 is: 151.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.34 : 180.09 = 109.31 : x
  2. Step 2: Convert to fraction form
    130.34/180.09 = 109.31/x
  3. Step 3: Cross multiply
    130.34x = 180.09 × 109.31
  4. Step 4: Simplify right side
    130.34x = 19,685.64
  5. Step 5: Solve for x
    x = 19,685.64/130.34
  6. Step 6: Final answer
    x = 151.03

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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.