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Finding the Fourth Proportional to 107.45, 148.22 and 65.41

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Solution

The fourth proportional to 107.45, 148.22 and 65.41 is: 90.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.45 : 148.22 = 65.41 : x
  2. Step 2: Convert to fraction form
    107.45/148.22 = 65.41/x
  3. Step 3: Cross multiply
    107.45x = 148.22 × 65.41
  4. Step 4: Simplify right side
    107.45x = 9,694.86
  5. Step 5: Solve for x
    x = 9,694.86/107.45
  6. Step 6: Final answer
    x = 90.22

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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.