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Finding the Fourth Proportional to 146.58, 202.23 and 84.42

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Solution

The fourth proportional to 146.58, 202.23 and 84.42 is: 116.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.58 : 202.23 = 84.42 : x
  2. Step 2: Convert to fraction form
    146.58/202.23 = 84.42/x
  3. Step 3: Cross multiply
    146.58x = 202.23 × 84.42
  4. Step 4: Simplify right side
    146.58x = 17,072.26
  5. Step 5: Solve for x
    x = 17,072.26/146.58
  6. Step 6: Final answer
    x = 116.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.