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Finding the Fourth Proportional to 147.82, 203.94 and 98.71

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Solution

The fourth proportional to 147.82, 203.94 and 98.71 is: 136.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.82 : 203.94 = 98.71 : x
  2. Step 2: Convert to fraction form
    147.82/203.94 = 98.71/x
  3. Step 3: Cross multiply
    147.82x = 203.94 × 98.71
  4. Step 4: Simplify right side
    147.82x = 20,130.41
  5. Step 5: Solve for x
    x = 20,130.41/147.82
  6. Step 6: Final answer
    x = 136.18

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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.