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Finding the Fourth Proportional to 102, 153.09 and 61.44

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Solution

The fourth proportional to 102, 153.09 and 61.44 is: 92.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102 : 153.09 = 61.44 : x
  2. Step 2: Convert to fraction form
    102/153.09 = 61.44/x
  3. Step 3: Cross multiply
    102x = 153.09 × 61.44
  4. Step 4: Simplify right side
    102x = 9,405.85
  5. Step 5: Solve for x
    x = 9,405.85/102
  6. Step 6: Final answer
    x = 92.21

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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.