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Finding the Fourth Proportional to 105.50, 145.49 and 70.54

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Solution

The fourth proportional to 105.50, 145.49 and 70.54 is: 97.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.50 : 145.49 = 70.54 : x
  2. Step 2: Convert to fraction form
    105.50/145.49 = 70.54/x
  3. Step 3: Cross multiply
    105.50x = 145.49 × 70.54
  4. Step 4: Simplify right side
    105.50x = 10,262.68
  5. Step 5: Solve for x
    x = 10,262.68/105.50
  6. Step 6: Final answer
    x = 97.27

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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.