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Finding the Fourth Proportional to 45.94, 68.50 and 45.14

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Solution

The fourth proportional to 45.94, 68.50 and 45.14 is: 67.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.94 : 68.50 = 45.14 : x
  2. Step 2: Convert to fraction form
    45.94/68.50 = 45.14/x
  3. Step 3: Cross multiply
    45.94x = 68.50 × 45.14
  4. Step 4: Simplify right side
    45.94x = 3,092.09
  5. Step 5: Solve for x
    x = 3,092.09/45.94
  6. Step 6: Final answer
    x = 67.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.