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Finding the Fourth Proportional to 53.84, 80.74 and 23.40

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Solution

The fourth proportional to 53.84, 80.74 and 23.40 is: 35.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.84 : 80.74 = 23.40 : x
  2. Step 2: Convert to fraction form
    53.84/80.74 = 23.40/x
  3. Step 3: Cross multiply
    53.84x = 80.74 × 23.40
  4. Step 4: Simplify right side
    53.84x = 1,889.32
  5. Step 5: Solve for x
    x = 1,889.32/53.84
  6. Step 6: Final answer
    x = 35.09

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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.