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Finding the Fourth Proportional to 53.49, 79.82 and 43.84

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Solution

The fourth proportional to 53.49, 79.82 and 43.84 is: 65.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.49 : 79.82 = 43.84 : x
  2. Step 2: Convert to fraction form
    53.49/79.82 = 43.84/x
  3. Step 3: Cross multiply
    53.49x = 79.82 × 43.84
  4. Step 4: Simplify right side
    53.49x = 3,499.35
  5. Step 5: Solve for x
    x = 3,499.35/53.49
  6. Step 6: Final answer
    x = 65.42

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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.