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Finding the Fourth Proportional to 105.33, 145.44 and 83.16

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Solution

The fourth proportional to 105.33, 145.44 and 83.16 is: 114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.33 : 145.44 = 83.16 : x
  2. Step 2: Convert to fraction form
    105.33/145.44 = 83.16/x
  3. Step 3: Cross multiply
    105.33x = 145.44 × 83.16
  4. Step 4: Simplify right side
    105.33x = 12,094.79
  5. Step 5: Solve for x
    x = 12,094.79/105.33
  6. Step 6: Final answer
    x = 114.83

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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.