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Finding the Fourth Proportional to 102.54, 153.83 and 44.74

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Solution

The fourth proportional to 102.54, 153.83 and 44.74 is: 67.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.54 : 153.83 = 44.74 : x
  2. Step 2: Convert to fraction form
    102.54/153.83 = 44.74/x
  3. Step 3: Cross multiply
    102.54x = 153.83 × 44.74
  4. Step 4: Simplify right side
    102.54x = 6,882.08
  5. Step 5: Solve for x
    x = 6,882.08/102.54
  6. Step 6: Final answer
    x = 67.12

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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.