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Finding the Fourth Proportional to 120.05, 180.09 and 43.01

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Solution

The fourth proportional to 120.05, 180.09 and 43.01 is: 64.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.05 : 180.09 = 43.01 : x
  2. Step 2: Convert to fraction form
    120.05/180.09 = 43.01/x
  3. Step 3: Cross multiply
    120.05x = 180.09 × 43.01
  4. Step 4: Simplify right side
    120.05x = 7,746.46
  5. Step 5: Solve for x
    x = 7,746.46/120.05
  6. Step 6: Final answer
    x = 64.53

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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.