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Finding the Fourth Proportional to 107.84, 161.66 and 47.01

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Solution

The fourth proportional to 107.84, 161.66 and 47.01 is: 70.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.84 : 161.66 = 47.01 : x
  2. Step 2: Convert to fraction form
    107.84/161.66 = 47.01/x
  3. Step 3: Cross multiply
    107.84x = 161.66 × 47.01
  4. Step 4: Simplify right side
    107.84x = 7,600.36
  5. Step 5: Solve for x
    x = 7,600.36/107.84
  6. Step 6: Final answer
    x = 70.48

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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.