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Finding the Fourth Proportional to 107.60, 148.46 and 80.02

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Solution

The fourth proportional to 107.60, 148.46 and 80.02 is: 110.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.60 : 148.46 = 80.02 : x
  2. Step 2: Convert to fraction form
    107.60/148.46 = 80.02/x
  3. Step 3: Cross multiply
    107.60x = 148.46 × 80.02
  4. Step 4: Simplify right side
    107.60x = 11,879.77
  5. Step 5: Solve for x
    x = 11,879.77/107.60
  6. Step 6: Final answer
    x = 110.41

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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.