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Finding the Fourth Proportional to 102.75, 154.90 and 97.13

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Solution

The fourth proportional to 102.75, 154.90 and 97.13 is: 146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.75 : 154.90 = 97.13 : x
  2. Step 2: Convert to fraction form
    102.75/154.90 = 97.13/x
  3. Step 3: Cross multiply
    102.75x = 154.90 × 97.13
  4. Step 4: Simplify right side
    102.75x = 15,045.95
  5. Step 5: Solve for x
    x = 15,045.95/102.75
  6. Step 6: Final answer
    x = 146.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.