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Finding the Fourth Proportional to 107.99, 149.01 and 71.15

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Solution

The fourth proportional to 107.99, 149.01 and 71.15 is: 98.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.99 : 149.01 = 71.15 : x
  2. Step 2: Convert to fraction form
    107.99/149.01 = 71.15/x
  3. Step 3: Cross multiply
    107.99x = 149.01 × 71.15
  4. Step 4: Simplify right side
    107.99x = 10,601.32
  5. Step 5: Solve for x
    x = 10,601.32/107.99
  6. Step 6: Final answer
    x = 98.17

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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.