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Finding the Fourth Proportional to 102.75, 154.17 and 48.65

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Solution

The fourth proportional to 102.75, 154.17 and 48.65 is: 72.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.75 : 154.17 = 48.65 : x
  2. Step 2: Convert to fraction form
    102.75/154.17 = 48.65/x
  3. Step 3: Cross multiply
    102.75x = 154.17 × 48.65
  4. Step 4: Simplify right side
    102.75x = 7,499.60
  5. Step 5: Solve for x
    x = 7,499.60/102.75
  6. Step 6: Final answer
    x = 72.99

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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.