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Finding the Fourth Proportional to 105.14, 145.07 and 71.97

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Solution

The fourth proportional to 105.14, 145.07 and 71.97 is: 99.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.14 : 145.07 = 71.97 : x
  2. Step 2: Convert to fraction form
    105.14/145.07 = 71.97/x
  3. Step 3: Cross multiply
    105.14x = 145.07 × 71.97
  4. Step 4: Simplify right side
    105.14x = 10,441.27
  5. Step 5: Solve for x
    x = 10,441.27/105.14
  6. Step 6: Final answer
    x = 99.31

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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.