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Finding the Fourth Proportional to 107.60, 148.48 and 80.04

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Solution

The fourth proportional to 107.60, 148.48 and 80.04 is: 110.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.60 : 148.48 = 80.04 : x
  2. Step 2: Convert to fraction form
    107.60/148.48 = 80.04/x
  3. Step 3: Cross multiply
    107.60x = 148.48 × 80.04
  4. Step 4: Simplify right side
    107.60x = 11,884.31
  5. Step 5: Solve for x
    x = 11,884.31/107.60
  6. Step 6: Final answer
    x = 110.45

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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.