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Finding the Fourth Proportional to 102.75, 154.02 and 48.55

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Solution

The fourth proportional to 102.75, 154.02 and 48.55 is: 72.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.75 : 154.02 = 48.55 : x
  2. Step 2: Convert to fraction form
    102.75/154.02 = 48.55/x
  3. Step 3: Cross multiply
    102.75x = 154.02 × 48.55
  4. Step 4: Simplify right side
    102.75x = 7,477.29
  5. Step 5: Solve for x
    x = 7,477.29/102.75
  6. Step 6: Final answer
    x = 72.77

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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.