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Finding the Fourth Proportional to 107.76, 148.73 and 68.45

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Solution

The fourth proportional to 107.76, 148.73 and 68.45 is: 94.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.76 : 148.73 = 68.45 : x
  2. Step 2: Convert to fraction form
    107.76/148.73 = 68.45/x
  3. Step 3: Cross multiply
    107.76x = 148.73 × 68.45
  4. Step 4: Simplify right side
    107.76x = 10,180.57
  5. Step 5: Solve for x
    x = 10,180.57/107.76
  6. Step 6: Final answer
    x = 94.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.