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Finding the Fourth Proportional to 102.09, 153.03 and 76.23

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Solution

The fourth proportional to 102.09, 153.03 and 76.23 is: 114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.09 : 153.03 = 76.23 : x
  2. Step 2: Convert to fraction form
    102.09/153.03 = 76.23/x
  3. Step 3: Cross multiply
    102.09x = 153.03 × 76.23
  4. Step 4: Simplify right side
    102.09x = 11,665.48
  5. Step 5: Solve for x
    x = 11,665.48/102.09
  6. Step 6: Final answer
    x = 114.27

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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.