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Finding the Fourth Proportional to 401.58, 602.42 and 113.02

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Solution

The fourth proportional to 401.58, 602.42 and 113.02 is: 169.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.58 : 602.42 = 113.02 : x
  2. Step 2: Convert to fraction form
    401.58/602.42 = 113.02/x
  3. Step 3: Cross multiply
    401.58x = 602.42 × 113.02
  4. Step 4: Simplify right side
    401.58x = 68,083.86
  5. Step 5: Solve for x
    x = 68,083.86/401.58
  6. Step 6: Final answer
    x = 169.54

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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.