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Finding the Fourth Proportional to 123.96, 170.07 and 117.84

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Solution

The fourth proportional to 123.96, 170.07 and 117.84 is: 161.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.96 : 170.07 = 117.84 : x
  2. Step 2: Convert to fraction form
    123.96/170.07 = 117.84/x
  3. Step 3: Cross multiply
    123.96x = 170.07 × 117.84
  4. Step 4: Simplify right side
    123.96x = 20,041.05
  5. Step 5: Solve for x
    x = 20,041.05/123.96
  6. Step 6: Final answer
    x = 161.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.