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Finding the Fourth Proportional to 107.70, 161.56 and 46.84

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Solution

The fourth proportional to 107.70, 161.56 and 46.84 is: 70.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.70 : 161.56 = 46.84 : x
  2. Step 2: Convert to fraction form
    107.70/161.56 = 46.84/x
  3. Step 3: Cross multiply
    107.70x = 161.56 × 46.84
  4. Step 4: Simplify right side
    107.70x = 7,567.47
  5. Step 5: Solve for x
    x = 7,567.47/107.70
  6. Step 6: Final answer
    x = 70.26

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