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Finding the Fourth Proportional to 69.06, 103.80 and 38.64

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Solution

The fourth proportional to 69.06, 103.80 and 38.64 is: 58.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.06 : 103.80 = 38.64 : x
  2. Step 2: Convert to fraction form
    69.06/103.80 = 38.64/x
  3. Step 3: Cross multiply
    69.06x = 103.80 × 38.64
  4. Step 4: Simplify right side
    69.06x = 4,010.83
  5. Step 5: Solve for x
    x = 4,010.83/69.06
  6. Step 6: Final answer
    x = 58.08

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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.