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Finding the Fourth Proportional to 107.04, 161.12 and 93.84

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Solution

The fourth proportional to 107.04, 161.12 and 93.84 is: 141.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.04 : 161.12 = 93.84 : x
  2. Step 2: Convert to fraction form
    107.04/161.12 = 93.84/x
  3. Step 3: Cross multiply
    107.04x = 161.12 × 93.84
  4. Step 4: Simplify right side
    107.04x = 15,119.50
  5. Step 5: Solve for x
    x = 15,119.50/107.04
  6. Step 6: Final answer
    x = 141.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.