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Finding the Fourth Proportional to 13.03, 18.00 and 9.76

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Solution

The fourth proportional to 13.03, 18.00 and 9.76 is: 13.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.03 : 18.00 = 9.76 : x
  2. Step 2: Convert to fraction form
    13.03/18.00 = 9.76/x
  3. Step 3: Cross multiply
    13.03x = 18.00 × 9.76
  4. Step 4: Simplify right side
    13.03x = 175.63
  5. Step 5: Solve for x
    x = 175.63/13.03
  6. Step 6: Final answer
    x = 13.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.