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Finding the Fourth Proportional to 53.06, 80.02 and 51.80

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Solution

The fourth proportional to 53.06, 80.02 and 51.80 is: 78.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.06 : 80.02 = 51.80 : x
  2. Step 2: Convert to fraction form
    53.06/80.02 = 51.80/x
  3. Step 3: Cross multiply
    53.06x = 80.02 × 51.80
  4. Step 4: Simplify right side
    53.06x = 4,145.04
  5. Step 5: Solve for x
    x = 4,145.04/53.06
  6. Step 6: Final answer
    x = 78.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.