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Finding the Fourth Proportional to 10.38, 15.48 and 9.36

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Solution

The fourth proportional to 10.38, 15.48 and 9.36 is: 13.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.38 : 15.48 = 9.36 : x
  2. Step 2: Convert to fraction form
    10.38/15.48 = 9.36/x
  3. Step 3: Cross multiply
    10.38x = 15.48 × 9.36
  4. Step 4: Simplify right side
    10.38x = 144.89
  5. Step 5: Solve for x
    x = 144.89/10.38
  6. Step 6: Final answer
    x = 13.96

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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.