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Finding the Fourth Proportional to 107.90, 148.93 and 100.20

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Solution

The fourth proportional to 107.90, 148.93 and 100.20 is: 138.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.90 : 148.93 = 100.20 : x
  2. Step 2: Convert to fraction form
    107.90/148.93 = 100.20/x
  3. Step 3: Cross multiply
    107.90x = 148.93 × 100.20
  4. Step 4: Simplify right side
    107.90x = 14,922.54
  5. Step 5: Solve for x
    x = 14,922.54/107.90
  6. Step 6: Final answer
    x = 138.31

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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.