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Finding the Fourth Proportional to 148.54, 205.01 and 83.05

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Solution

The fourth proportional to 148.54, 205.01 and 83.05 is: 114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.54 : 205.01 = 83.05 : x
  2. Step 2: Convert to fraction form
    148.54/205.01 = 83.05/x
  3. Step 3: Cross multiply
    148.54x = 205.01 × 83.05
  4. Step 4: Simplify right side
    148.54x = 17,025.67
  5. Step 5: Solve for x
    x = 17,025.67/148.54
  6. Step 6: Final answer
    x = 114.62

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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.