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Finding the Fourth Proportional to 107.73, 148.77 and 91.35

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Solution

The fourth proportional to 107.73, 148.77 and 91.35 is: 126.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.73 : 148.77 = 91.35 : x
  2. Step 2: Convert to fraction form
    107.73/148.77 = 91.35/x
  3. Step 3: Cross multiply
    107.73x = 148.77 × 91.35
  4. Step 4: Simplify right side
    107.73x = 13,590.14
  5. Step 5: Solve for x
    x = 13,590.14/107.73
  6. Step 6: Final answer
    x = 126.15

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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.