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Finding the Fourth Proportional to 107.61, 148.43 and 104.61

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Solution

The fourth proportional to 107.61, 148.43 and 104.61 is: 144.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.61 : 148.43 = 104.61 : x
  2. Step 2: Convert to fraction form
    107.61/148.43 = 104.61/x
  3. Step 3: Cross multiply
    107.61x = 148.43 × 104.61
  4. Step 4: Simplify right side
    107.61x = 15,526.74
  5. Step 5: Solve for x
    x = 15,526.74/107.61
  6. Step 6: Final answer
    x = 144.29

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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.