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Finding the Fourth Proportional to 147.06, 202.94 and 81.57

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Solution

The fourth proportional to 147.06, 202.94 and 81.57 is: 112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.06 : 202.94 = 81.57 : x
  2. Step 2: Convert to fraction form
    147.06/202.94 = 81.57/x
  3. Step 3: Cross multiply
    147.06x = 202.94 × 81.57
  4. Step 4: Simplify right side
    147.06x = 16,553.82
  5. Step 5: Solve for x
    x = 16,553.82/147.06
  6. Step 6: Final answer
    x = 112.57

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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.