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Finding the Fourth Proportional to 147.93, 203.81 and 116.79

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Solution

The fourth proportional to 147.93, 203.81 and 116.79 is: 160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.93 : 203.81 = 116.79 : x
  2. Step 2: Convert to fraction form
    147.93/203.81 = 116.79/x
  3. Step 3: Cross multiply
    147.93x = 203.81 × 116.79
  4. Step 4: Simplify right side
    147.93x = 23,802.97
  5. Step 5: Solve for x
    x = 23,802.97/147.93
  6. Step 6: Final answer
    x = 160.91

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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.