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Finding the Fourth Proportional to 107.49, 161.04 and 70.86

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Solution

The fourth proportional to 107.49, 161.04 and 70.86 is: 106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.49 : 161.04 = 70.86 : x
  2. Step 2: Convert to fraction form
    107.49/161.04 = 70.86/x
  3. Step 3: Cross multiply
    107.49x = 161.04 × 70.86
  4. Step 4: Simplify right side
    107.49x = 11,411.29
  5. Step 5: Solve for x
    x = 11,411.29/107.49
  6. Step 6: Final answer
    x = 106.16

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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.