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Finding the Fourth Proportional to 102.24, 153.48 and 54.24

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Solution

The fourth proportional to 102.24, 153.48 and 54.24 is: 81.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.24 : 153.48 = 54.24 : x
  2. Step 2: Convert to fraction form
    102.24/153.48 = 54.24/x
  3. Step 3: Cross multiply
    102.24x = 153.48 × 54.24
  4. Step 4: Simplify right side
    102.24x = 8,324.76
  5. Step 5: Solve for x
    x = 8,324.76/102.24
  6. Step 6: Final answer
    x = 81.42

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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.