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Finding the Fourth Proportional to 108.65, 148.73 and 105.16

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Solution

The fourth proportional to 108.65, 148.73 and 105.16 is: 143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.65 : 148.73 = 105.16 : x
  2. Step 2: Convert to fraction form
    108.65/148.73 = 105.16/x
  3. Step 3: Cross multiply
    108.65x = 148.73 × 105.16
  4. Step 4: Simplify right side
    108.65x = 15,640.34
  5. Step 5: Solve for x
    x = 15,640.34/108.65
  6. Step 6: Final answer
    x = 143.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.