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Finding the Fourth Proportional to 103.17, 142.34 and 73.67

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Solution

The fourth proportional to 103.17, 142.34 and 73.67 is: 101.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.17 : 142.34 = 73.67 : x
  2. Step 2: Convert to fraction form
    103.17/142.34 = 73.67/x
  3. Step 3: Cross multiply
    103.17x = 142.34 × 73.67
  4. Step 4: Simplify right side
    103.17x = 10,485.25
  5. Step 5: Solve for x
    x = 10,485.25/103.17
  6. Step 6: Final answer
    x = 101.63

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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.