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Finding the Fourth Proportional to 147.30, 203.13 and 122.70

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Solution

The fourth proportional to 147.30, 203.13 and 122.70 is: 169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.30 : 203.13 = 122.70 : x
  2. Step 2: Convert to fraction form
    147.30/203.13 = 122.70/x
  3. Step 3: Cross multiply
    147.30x = 203.13 × 122.70
  4. Step 4: Simplify right side
    147.30x = 24,924.05
  5. Step 5: Solve for x
    x = 24,924.05/147.30
  6. Step 6: Final answer
    x = 169.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.