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Finding the Fourth Proportional to 120.26, 180.23 and 97.47

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Solution

The fourth proportional to 120.26, 180.23 and 97.47 is: 146.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.26 : 180.23 = 97.47 : x
  2. Step 2: Convert to fraction form
    120.26/180.23 = 97.47/x
  3. Step 3: Cross multiply
    120.26x = 180.23 × 97.47
  4. Step 4: Simplify right side
    120.26x = 17,566.53
  5. Step 5: Solve for x
    x = 17,566.53/120.26
  6. Step 6: Final answer
    x = 146.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.