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Finding the Fourth Proportional to 120.04, 180.16 and 47.95

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Solution

The fourth proportional to 120.04, 180.16 and 47.95 is: 71.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.04 : 180.16 = 47.95 : x
  2. Step 2: Convert to fraction form
    120.04/180.16 = 47.95/x
  3. Step 3: Cross multiply
    120.04x = 180.16 × 47.95
  4. Step 4: Simplify right side
    120.04x = 8,638.10
  5. Step 5: Solve for x
    x = 8,638.10/120.04
  6. Step 6: Final answer
    x = 71.96

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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.