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Finding the Fourth Proportional to 415.46, 623.19 and 107.32

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Solution

The fourth proportional to 415.46, 623.19 and 107.32 is: 160.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.46 : 623.19 = 107.32 : x
  2. Step 2: Convert to fraction form
    415.46/623.19 = 107.32/x
  3. Step 3: Cross multiply
    415.46x = 623.19 × 107.32
  4. Step 4: Simplify right side
    415.46x = 66,880.75
  5. Step 5: Solve for x
    x = 66,880.75/415.46
  6. Step 6: Final answer
    x = 160.98

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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.