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Finding the Fourth Proportional to 105.42, 145.45 and 63.97

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Solution

The fourth proportional to 105.42, 145.45 and 63.97 is: 88.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.42 : 145.45 = 63.97 : x
  2. Step 2: Convert to fraction form
    105.42/145.45 = 63.97/x
  3. Step 3: Cross multiply
    105.42x = 145.45 × 63.97
  4. Step 4: Simplify right side
    105.42x = 9,304.07
  5. Step 5: Solve for x
    x = 9,304.07/105.42
  6. Step 6: Final answer
    x = 88.26

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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.