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Finding the Fourth Proportional to 102.70, 153.82 and 84.70

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Solution

The fourth proportional to 102.70, 153.82 and 84.70 is: 126.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.70 : 153.82 = 84.70 : x
  2. Step 2: Convert to fraction form
    102.70/153.82 = 84.70/x
  3. Step 3: Cross multiply
    102.70x = 153.82 × 84.70
  4. Step 4: Simplify right side
    102.70x = 13,028.55
  5. Step 5: Solve for x
    x = 13,028.55/102.70
  6. Step 6: Final answer
    x = 126.86

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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.