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Finding the Fourth Proportional to 147.12, 203.24 and 116.24

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Solution

The fourth proportional to 147.12, 203.24 and 116.24 is: 160.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.12 : 203.24 = 116.24 : x
  2. Step 2: Convert to fraction form
    147.12/203.24 = 116.24/x
  3. Step 3: Cross multiply
    147.12x = 203.24 × 116.24
  4. Step 4: Simplify right side
    147.12x = 23,624.62
  5. Step 5: Solve for x
    x = 23,624.62/147.12
  6. Step 6: Final answer
    x = 160.58

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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.