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Finding the Fourth Proportional to 53.84, 80.44 and 44.80

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Solution

The fourth proportional to 53.84, 80.44 and 44.80 is: 66.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.84 : 80.44 = 44.80 : x
  2. Step 2: Convert to fraction form
    53.84/80.44 = 44.80/x
  3. Step 3: Cross multiply
    53.84x = 80.44 × 44.80
  4. Step 4: Simplify right side
    53.84x = 3,603.71
  5. Step 5: Solve for x
    x = 3,603.71/53.84
  6. Step 6: Final answer
    x = 66.93

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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.