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Finding the Fourth Proportional to 45.84, 68.91 and 45.48

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Solution

The fourth proportional to 45.84, 68.91 and 45.48 is: 68.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.84 : 68.91 = 45.48 : x
  2. Step 2: Convert to fraction form
    45.84/68.91 = 45.48/x
  3. Step 3: Cross multiply
    45.84x = 68.91 × 45.48
  4. Step 4: Simplify right side
    45.84x = 3,134.03
  5. Step 5: Solve for x
    x = 3,134.03/45.84
  6. Step 6: Final answer
    x = 68.37

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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.