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Finding the Fourth Proportional to 12.02, 18.01 and 9.77

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Solution

The fourth proportional to 12.02, 18.01 and 9.77 is: 14.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.02 : 18.01 = 9.77 : x
  2. Step 2: Convert to fraction form
    12.02/18.01 = 9.77/x
  3. Step 3: Cross multiply
    12.02x = 18.01 × 9.77
  4. Step 4: Simplify right side
    12.02x = 175.98
  5. Step 5: Solve for x
    x = 175.98/12.02
  6. Step 6: Final answer
    x = 14.64

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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.