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Finding the Fourth Proportional to 120.35, 180.47 and 43.29

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Solution

The fourth proportional to 120.35, 180.47 and 43.29 is: 64.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.35 : 180.47 = 43.29 : x
  2. Step 2: Convert to fraction form
    120.35/180.47 = 43.29/x
  3. Step 3: Cross multiply
    120.35x = 180.47 × 43.29
  4. Step 4: Simplify right side
    120.35x = 7,812.33
  5. Step 5: Solve for x
    x = 7,812.33/120.35
  6. Step 6: Final answer
    x = 64.92

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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.