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Finding the Fourth Proportional to 147.11, 202.79 and 114.31

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Solution

The fourth proportional to 147.11, 202.79 and 114.31 is: 157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.11 : 202.79 = 114.31 : x
  2. Step 2: Convert to fraction form
    147.11/202.79 = 114.31/x
  3. Step 3: Cross multiply
    147.11x = 202.79 × 114.31
  4. Step 4: Simplify right side
    147.11x = 23,179.34
  5. Step 5: Solve for x
    x = 23,179.34/147.11
  6. Step 6: Final answer
    x = 157.56

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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.