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Finding the Fourth Proportional to 104.54, 143.42 and 101.70

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Solution

The fourth proportional to 104.54, 143.42 and 101.70 is: 139.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.54 : 143.42 = 101.70 : x
  2. Step 2: Convert to fraction form
    104.54/143.42 = 101.70/x
  3. Step 3: Cross multiply
    104.54x = 143.42 × 101.70
  4. Step 4: Simplify right side
    104.54x = 14,584.59
  5. Step 5: Solve for x
    x = 14,584.59/104.54
  6. Step 6: Final answer
    x = 139.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.