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Finding the Fourth Proportional to 120.07, 180.17 and 46.98

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Solution

The fourth proportional to 120.07, 180.17 and 46.98 is: 70.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.07 : 180.17 = 46.98 : x
  2. Step 2: Convert to fraction form
    120.07/180.17 = 46.98/x
  3. Step 3: Cross multiply
    120.07x = 180.17 × 46.98
  4. Step 4: Simplify right side
    120.07x = 8,464.59
  5. Step 5: Solve for x
    x = 8,464.59/120.07
  6. Step 6: Final answer
    x = 70.50

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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.