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Finding the Fourth Proportional to 107.70, 161.40 and 46.77

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Solution

The fourth proportional to 107.70, 161.40 and 46.77 is: 70.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.70 : 161.40 = 46.77 : x
  2. Step 2: Convert to fraction form
    107.70/161.40 = 46.77/x
  3. Step 3: Cross multiply
    107.70x = 161.40 × 46.77
  4. Step 4: Simplify right side
    107.70x = 7,548.68
  5. Step 5: Solve for x
    x = 7,548.68/107.70
  6. Step 6: Final answer
    x = 70.09

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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.