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Finding the Fourth Proportional to 102.42, 153.63 and 30.27

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Solution

The fourth proportional to 102.42, 153.63 and 30.27 is: 45.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.42 : 153.63 = 30.27 : x
  2. Step 2: Convert to fraction form
    102.42/153.63 = 30.27/x
  3. Step 3: Cross multiply
    102.42x = 153.63 × 30.27
  4. Step 4: Simplify right side
    102.42x = 4,650.38
  5. Step 5: Solve for x
    x = 4,650.38/102.42
  6. Step 6: Final answer
    x = 45.41

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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.