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Finding the Fourth Proportional to 147.21, 203.16 and 116.37

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Solution

The fourth proportional to 147.21, 203.16 and 116.37 is: 160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.21 : 203.16 = 116.37 : x
  2. Step 2: Convert to fraction form
    147.21/203.16 = 116.37/x
  3. Step 3: Cross multiply
    147.21x = 203.16 × 116.37
  4. Step 4: Simplify right side
    147.21x = 23,641.73
  5. Step 5: Solve for x
    x = 23,641.73/147.21
  6. Step 6: Final answer
    x = 160.60

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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.