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Finding the Fourth Proportional to 148.53, 204.94 and 107.15

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Solution

The fourth proportional to 148.53, 204.94 and 107.15 is: 147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.53 : 204.94 = 107.15 : x
  2. Step 2: Convert to fraction form
    148.53/204.94 = 107.15/x
  3. Step 3: Cross multiply
    148.53x = 204.94 × 107.15
  4. Step 4: Simplify right side
    148.53x = 21,958.43
  5. Step 5: Solve for x
    x = 21,958.43/148.53
  6. Step 6: Final answer
    x = 147.84

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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.