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Finding the Fourth Proportional to 103.03, 142.02 and 84.64

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Solution

The fourth proportional to 103.03, 142.02 and 84.64 is: 116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.03 : 142.02 = 84.64 : x
  2. Step 2: Convert to fraction form
    103.03/142.02 = 84.64/x
  3. Step 3: Cross multiply
    103.03x = 142.02 × 84.64
  4. Step 4: Simplify right side
    103.03x = 12,020.57
  5. Step 5: Solve for x
    x = 12,020.57/103.03
  6. Step 6: Final answer
    x = 116.67

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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.