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Finding the Fourth Proportional to 107.84, 161.90 and 106.01

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Solution

The fourth proportional to 107.84, 161.90 and 106.01 is: 159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.84 : 161.90 = 106.01 : x
  2. Step 2: Convert to fraction form
    107.84/161.90 = 106.01/x
  3. Step 3: Cross multiply
    107.84x = 161.90 × 106.01
  4. Step 4: Simplify right side
    107.84x = 17,162.49
  5. Step 5: Solve for x
    x = 17,162.49/107.84
  6. Step 6: Final answer
    x = 159.16

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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.