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Finding the Fourth Proportional to 147.72, 203.72 and 116.23

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Solution

The fourth proportional to 147.72, 203.72 and 116.23 is: 160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.72 : 203.72 = 116.23 : x
  2. Step 2: Convert to fraction form
    147.72/203.72 = 116.23/x
  3. Step 3: Cross multiply
    147.72x = 203.72 × 116.23
  4. Step 4: Simplify right side
    147.72x = 23,677.36
  5. Step 5: Solve for x
    x = 23,677.36/147.72
  6. Step 6: Final answer
    x = 160.29

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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.