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Finding the Fourth Proportional to 102.76, 153.81 and 83.37

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Solution

The fourth proportional to 102.76, 153.81 and 83.37 is: 124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.76 : 153.81 = 83.37 : x
  2. Step 2: Convert to fraction form
    102.76/153.81 = 83.37/x
  3. Step 3: Cross multiply
    102.76x = 153.81 × 83.37
  4. Step 4: Simplify right side
    102.76x = 12,823.14
  5. Step 5: Solve for x
    x = 12,823.14/102.76
  6. Step 6: Final answer
    x = 124.79

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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.