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Finding the Fourth Proportional to 68.64, 103.05 and 48.48

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Solution

The fourth proportional to 68.64, 103.05 and 48.48 is: 72.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.64 : 103.05 = 48.48 : x
  2. Step 2: Convert to fraction form
    68.64/103.05 = 48.48/x
  3. Step 3: Cross multiply
    68.64x = 103.05 × 48.48
  4. Step 4: Simplify right side
    68.64x = 4,995.86
  5. Step 5: Solve for x
    x = 4,995.86/68.64
  6. Step 6: Final answer
    x = 72.78

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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.