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Finding the Fourth Proportional to 147.27, 203.33 and 105.80

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Solution

The fourth proportional to 147.27, 203.33 and 105.80 is: 146.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.27 : 203.33 = 105.80 : x
  2. Step 2: Convert to fraction form
    147.27/203.33 = 105.80/x
  3. Step 3: Cross multiply
    147.27x = 203.33 × 105.80
  4. Step 4: Simplify right side
    147.27x = 21,510.77
  5. Step 5: Solve for x
    x = 21,510.77/147.27
  6. Step 6: Final answer
    x = 146.06

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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.