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Finding the Fourth Proportional to 146.76, 202.49 and 84.59

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Solution

The fourth proportional to 146.76, 202.49 and 84.59 is: 116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.76 : 202.49 = 84.59 : x
  2. Step 2: Convert to fraction form
    146.76/202.49 = 84.59/x
  3. Step 3: Cross multiply
    146.76x = 202.49 × 84.59
  4. Step 4: Simplify right side
    146.76x = 17,127.95
  5. Step 5: Solve for x
    x = 17,127.95/146.76
  6. Step 6: Final answer
    x = 116.71

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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.