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Finding the Fourth Proportional to 67.49, 93.09 and 51.09

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Solution

The fourth proportional to 67.49, 93.09 and 51.09 is: 70.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.49 : 93.09 = 51.09 : x
  2. Step 2: Convert to fraction form
    67.49/93.09 = 51.09/x
  3. Step 3: Cross multiply
    67.49x = 93.09 × 51.09
  4. Step 4: Simplify right side
    67.49x = 4,755.81
  5. Step 5: Solve for x
    x = 4,755.81/67.49
  6. Step 6: Final answer
    x = 70.47

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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.