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Finding the Fourth Proportional to 147.33, 203.18 and 106.09

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Solution

The fourth proportional to 147.33, 203.18 and 106.09 is: 146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.33 : 203.18 = 106.09 : x
  2. Step 2: Convert to fraction form
    147.33/203.18 = 106.09/x
  3. Step 3: Cross multiply
    147.33x = 203.18 × 106.09
  4. Step 4: Simplify right side
    147.33x = 21,555.37
  5. Step 5: Solve for x
    x = 21,555.37/147.33
  6. Step 6: Final answer
    x = 146.31

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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.