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Finding the Fourth Proportional to 148.99, 205.62 and 83.50

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Solution

The fourth proportional to 148.99, 205.62 and 83.50 is: 115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.99 : 205.62 = 83.50 : x
  2. Step 2: Convert to fraction form
    148.99/205.62 = 83.50/x
  3. Step 3: Cross multiply
    148.99x = 205.62 × 83.50
  4. Step 4: Simplify right side
    148.99x = 17,169.27
  5. Step 5: Solve for x
    x = 17,169.27/148.99
  6. Step 6: Final answer
    x = 115.24

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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.