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Finding the Fourth Proportional to 102.29, 153.23 and 84.20

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Solution

The fourth proportional to 102.29, 153.23 and 84.20 is: 126.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.29 : 153.23 = 84.20 : x
  2. Step 2: Convert to fraction form
    102.29/153.23 = 84.20/x
  3. Step 3: Cross multiply
    102.29x = 153.23 × 84.20
  4. Step 4: Simplify right side
    102.29x = 12,900.78
  5. Step 5: Solve for x
    x = 12,900.78/102.29
  6. Step 6: Final answer
    x = 126.13

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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.