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Finding the Fourth Proportional to 35.96, 53.88 and 13.11

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Solution

The fourth proportional to 35.96, 53.88 and 13.11 is: 19.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.96 : 53.88 = 13.11 : x
  2. Step 2: Convert to fraction form
    35.96/53.88 = 13.11/x
  3. Step 3: Cross multiply
    35.96x = 53.88 × 13.11
  4. Step 4: Simplify right side
    35.96x = 706.37
  5. Step 5: Solve for x
    x = 706.37/35.96
  6. Step 6: Final answer
    x = 19.65

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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.