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Finding the Fourth Proportional to 105.39, 146.57 and 103.16

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Solution

The fourth proportional to 105.39, 146.57 and 103.16 is: 143.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.39 : 146.57 = 103.16 : x
  2. Step 2: Convert to fraction form
    105.39/146.57 = 103.16/x
  3. Step 3: Cross multiply
    105.39x = 146.57 × 103.16
  4. Step 4: Simplify right side
    105.39x = 15,118.91
  5. Step 5: Solve for x
    x = 15,118.91/105.39
  6. Step 6: Final answer
    x = 143.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.