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Finding the Fourth Proportional to 105.42, 145.49 and 63.43

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Solution

The fourth proportional to 105.42, 145.49 and 63.43 is: 87.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.42 : 145.49 = 63.43 : x
  2. Step 2: Convert to fraction form
    105.42/145.49 = 63.43/x
  3. Step 3: Cross multiply
    105.42x = 145.49 × 63.43
  4. Step 4: Simplify right side
    105.42x = 9,228.43
  5. Step 5: Solve for x
    x = 9,228.43/105.42
  6. Step 6: Final answer
    x = 87.54

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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.