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Finding the Fourth Proportional to 107.84, 148.70 and 80.12

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Solution

The fourth proportional to 107.84, 148.70 and 80.12 is: 110.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.84 : 148.70 = 80.12 : x
  2. Step 2: Convert to fraction form
    107.84/148.70 = 80.12/x
  3. Step 3: Cross multiply
    107.84x = 148.70 × 80.12
  4. Step 4: Simplify right side
    107.84x = 11,913.84
  5. Step 5: Solve for x
    x = 11,913.84/107.84
  6. Step 6: Final answer
    x = 110.48

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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.