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Finding the Fourth Proportional to 13.77, 20.57 and 9.45

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Solution

The fourth proportional to 13.77, 20.57 and 9.45 is: 14.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.77 : 20.57 = 9.45 : x
  2. Step 2: Convert to fraction form
    13.77/20.57 = 9.45/x
  3. Step 3: Cross multiply
    13.77x = 20.57 × 9.45
  4. Step 4: Simplify right side
    13.77x = 194.34
  5. Step 5: Solve for x
    x = 194.34/13.77
  6. Step 6: Final answer
    x = 14.11

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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.