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Finding the Fourth Proportional to 147.08, 202.82 and 112.12

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Solution

The fourth proportional to 147.08, 202.82 and 112.12 is: 154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.08 : 202.82 = 112.12 : x
  2. Step 2: Convert to fraction form
    147.08/202.82 = 112.12/x
  3. Step 3: Cross multiply
    147.08x = 202.82 × 112.12
  4. Step 4: Simplify right side
    147.08x = 22,739.74
  5. Step 5: Solve for x
    x = 22,739.74/147.08
  6. Step 6: Final answer
    x = 154.61

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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.