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Finding the Fourth Proportional to 105.23, 145.11 and 70.22

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Solution

The fourth proportional to 105.23, 145.11 and 70.22 is: 96.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.23 : 145.11 = 70.22 : x
  2. Step 2: Convert to fraction form
    105.23/145.11 = 70.22/x
  3. Step 3: Cross multiply
    105.23x = 145.11 × 70.22
  4. Step 4: Simplify right side
    105.23x = 10,188.90
  5. Step 5: Solve for x
    x = 10,188.90/105.23
  6. Step 6: Final answer
    x = 96.83

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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.