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Finding the Fourth Proportional to 102.12, 153.19 and 96.65

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Solution

The fourth proportional to 102.12, 153.19 and 96.65 is: 144.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.12 : 153.19 = 96.65 : x
  2. Step 2: Convert to fraction form
    102.12/153.19 = 96.65/x
  3. Step 3: Cross multiply
    102.12x = 153.19 × 96.65
  4. Step 4: Simplify right side
    102.12x = 14,805.95
  5. Step 5: Solve for x
    x = 14,805.95/102.12
  6. Step 6: Final answer
    x = 144.99

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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.