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Finding the Fourth Proportional to 108.48, 161.64 and 103.80

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Solution

The fourth proportional to 108.48, 161.64 and 103.80 is: 154.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.48 : 161.64 = 103.80 : x
  2. Step 2: Convert to fraction form
    108.48/161.64 = 103.80/x
  3. Step 3: Cross multiply
    108.48x = 161.64 × 103.80
  4. Step 4: Simplify right side
    108.48x = 16,778.23
  5. Step 5: Solve for x
    x = 16,778.23/108.48
  6. Step 6: Final answer
    x = 154.67

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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.