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Finding the Fourth Proportional to 105.14, 145.32 and 83.28

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Solution

The fourth proportional to 105.14, 145.32 and 83.28 is: 115.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.14 : 145.32 = 83.28 : x
  2. Step 2: Convert to fraction form
    105.14/145.32 = 83.28/x
  3. Step 3: Cross multiply
    105.14x = 145.32 × 83.28
  4. Step 4: Simplify right side
    105.14x = 12,102.25
  5. Step 5: Solve for x
    x = 12,102.25/105.14
  6. Step 6: Final answer
    x = 115.11

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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.