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Finding the Fourth Proportional to 105.12, 145.14 and 83.34

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Solution

The fourth proportional to 105.12, 145.14 and 83.34 is: 115.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.12 : 145.14 = 83.34 : x
  2. Step 2: Convert to fraction form
    105.12/145.14 = 83.34/x
  3. Step 3: Cross multiply
    105.12x = 145.14 × 83.34
  4. Step 4: Simplify right side
    105.12x = 12,095.97
  5. Step 5: Solve for x
    x = 12,095.97/105.12
  6. Step 6: Final answer
    x = 115.07

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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.