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Finding the Fourth Proportional to 103.94, 156.01 and 76.60

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Solution

The fourth proportional to 103.94, 156.01 and 76.60 is: 114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.94 : 156.01 = 76.60 : x
  2. Step 2: Convert to fraction form
    103.94/156.01 = 76.60/x
  3. Step 3: Cross multiply
    103.94x = 156.01 × 76.60
  4. Step 4: Simplify right side
    103.94x = 11,950.37
  5. Step 5: Solve for x
    x = 11,950.37/103.94
  6. Step 6: Final answer
    x = 114.97

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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.