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Finding the Fourth Proportional to 102.50, 153.80 and 84.50

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Solution

The fourth proportional to 102.50, 153.80 and 84.50 is: 126.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.50 : 153.80 = 84.50 : x
  2. Step 2: Convert to fraction form
    102.50/153.80 = 84.50/x
  3. Step 3: Cross multiply
    102.50x = 153.80 × 84.50
  4. Step 4: Simplify right side
    102.50x = 12,996.10
  5. Step 5: Solve for x
    x = 12,996.10/102.50
  6. Step 6: Final answer
    x = 126.79

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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.