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Finding the Fourth Proportional to 148.59, 204.96 and 107.25

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Solution

The fourth proportional to 148.59, 204.96 and 107.25 is: 147.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.59 : 204.96 = 107.25 : x
  2. Step 2: Convert to fraction form
    148.59/204.96 = 107.25/x
  3. Step 3: Cross multiply
    148.59x = 204.96 × 107.25
  4. Step 4: Simplify right side
    148.59x = 21,981.96
  5. Step 5: Solve for x
    x = 21,981.96/148.59
  6. Step 6: Final answer
    x = 147.94

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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.