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Finding the Fourth Proportional to 428.18, 642.33 and 120.06

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Solution

The fourth proportional to 428.18, 642.33 and 120.06 is: 180.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.18 : 642.33 = 120.06 : x
  2. Step 2: Convert to fraction form
    428.18/642.33 = 120.06/x
  3. Step 3: Cross multiply
    428.18x = 642.33 × 120.06
  4. Step 4: Simplify right side
    428.18x = 77,118.14
  5. Step 5: Solve for x
    x = 77,118.14/428.18
  6. Step 6: Final answer
    x = 180.11

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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.