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Finding the Fourth Proportional to 117.09, 161.06 and 100.67

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Solution

The fourth proportional to 117.09, 161.06 and 100.67 is: 138.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.09 : 161.06 = 100.67 : x
  2. Step 2: Convert to fraction form
    117.09/161.06 = 100.67/x
  3. Step 3: Cross multiply
    117.09x = 161.06 × 100.67
  4. Step 4: Simplify right side
    117.09x = 16,212.60
  5. Step 5: Solve for x
    x = 16,212.60/117.09
  6. Step 6: Final answer
    x = 138.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.