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Finding the Fourth Proportional to 68.69, 103.05 and 48.35

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Solution

The fourth proportional to 68.69, 103.05 and 48.35 is: 72.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.69 : 103.05 = 48.35 : x
  2. Step 2: Convert to fraction form
    68.69/103.05 = 48.35/x
  3. Step 3: Cross multiply
    68.69x = 103.05 × 48.35
  4. Step 4: Simplify right side
    68.69x = 4,982.47
  5. Step 5: Solve for x
    x = 4,982.47/68.69
  6. Step 6: Final answer
    x = 72.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.