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Finding the Fourth Proportional to 120.02, 180.01 and 34.50

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Solution

The fourth proportional to 120.02, 180.01 and 34.50 is: 51.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.02 : 180.01 = 34.50 : x
  2. Step 2: Convert to fraction form
    120.02/180.01 = 34.50/x
  3. Step 3: Cross multiply
    120.02x = 180.01 × 34.50
  4. Step 4: Simplify right side
    120.02x = 6,210.35
  5. Step 5: Solve for x
    x = 6,210.35/120.02
  6. Step 6: Final answer
    x = 51.74

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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.