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Finding the Fourth Proportional to 53.78, 80.26 and 53.06

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Solution

The fourth proportional to 53.78, 80.26 and 53.06 is: 79.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.78 : 80.26 = 53.06 : x
  2. Step 2: Convert to fraction form
    53.78/80.26 = 53.06/x
  3. Step 3: Cross multiply
    53.78x = 80.26 × 53.06
  4. Step 4: Simplify right side
    53.78x = 4,258.60
  5. Step 5: Solve for x
    x = 4,258.60/53.78
  6. Step 6: Final answer
    x = 79.19

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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.