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Finding the Fourth Proportional to 102.23, 153.34 and 30.09

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Solution

The fourth proportional to 102.23, 153.34 and 30.09 is: 45.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.23 : 153.34 = 30.09 : x
  2. Step 2: Convert to fraction form
    102.23/153.34 = 30.09/x
  3. Step 3: Cross multiply
    102.23x = 153.34 × 30.09
  4. Step 4: Simplify right side
    102.23x = 4,614.00
  5. Step 5: Solve for x
    x = 4,614.00/102.23
  6. Step 6: Final answer
    x = 45.14

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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.