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Finding the Fourth Proportional to 67.99, 102.02 and 29.50

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Solution

The fourth proportional to 67.99, 102.02 and 29.50 is: 44.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.99 : 102.02 = 29.50 : x
  2. Step 2: Convert to fraction form
    67.99/102.02 = 29.50/x
  3. Step 3: Cross multiply
    67.99x = 102.02 × 29.50
  4. Step 4: Simplify right side
    67.99x = 3,009.59
  5. Step 5: Solve for x
    x = 3,009.59/67.99
  6. Step 6: Final answer
    x = 44.27

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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.