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Finding the Fourth Proportional to 105.29, 145.31 and 63.28

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Solution

The fourth proportional to 105.29, 145.31 and 63.28 is: 87.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.29 : 145.31 = 63.28 : x
  2. Step 2: Convert to fraction form
    105.29/145.31 = 63.28/x
  3. Step 3: Cross multiply
    105.29x = 145.31 × 63.28
  4. Step 4: Simplify right side
    105.29x = 9,195.01
  5. Step 5: Solve for x
    x = 9,195.01/105.29
  6. Step 6: Final answer
    x = 87.33

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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.