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Finding the Fourth Proportional to 107.80, 161.48 and 84.87

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Solution

The fourth proportional to 107.80, 161.48 and 84.87 is: 127.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.80 : 161.48 = 84.87 : x
  2. Step 2: Convert to fraction form
    107.80/161.48 = 84.87/x
  3. Step 3: Cross multiply
    107.80x = 161.48 × 84.87
  4. Step 4: Simplify right side
    107.80x = 13,703.58
  5. Step 5: Solve for x
    x = 13,703.58/107.80
  6. Step 6: Final answer
    x = 127.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.