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Finding the Fourth Proportional to 13.14, 19.73 and 9.77

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Solution

The fourth proportional to 13.14, 19.73 and 9.77 is: 14.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.14 : 19.73 = 9.77 : x
  2. Step 2: Convert to fraction form
    13.14/19.73 = 9.77/x
  3. Step 3: Cross multiply
    13.14x = 19.73 × 9.77
  4. Step 4: Simplify right side
    13.14x = 192.76
  5. Step 5: Solve for x
    x = 192.76/13.14
  6. Step 6: Final answer
    x = 14.67

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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.