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Finding the Fourth Proportional to 180.02, 270.03 and 51.77

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Solution

The fourth proportional to 180.02, 270.03 and 51.77 is: 77.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.02 : 270.03 = 51.77 : x
  2. Step 2: Convert to fraction form
    180.02/270.03 = 51.77/x
  3. Step 3: Cross multiply
    180.02x = 270.03 × 51.77
  4. Step 4: Simplify right side
    180.02x = 13,979.45
  5. Step 5: Solve for x
    x = 13,979.45/180.02
  6. Step 6: Final answer
    x = 77.66

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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.