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Finding the Fourth Proportional to 102.56, 153.59 and 85.55

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Solution

The fourth proportional to 102.56, 153.59 and 85.55 is: 128.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.56 : 153.59 = 85.55 : x
  2. Step 2: Convert to fraction form
    102.56/153.59 = 85.55/x
  3. Step 3: Cross multiply
    102.56x = 153.59 × 85.55
  4. Step 4: Simplify right side
    102.56x = 13,138.43
  5. Step 5: Solve for x
    x = 13,138.43/102.56
  6. Step 6: Final answer
    x = 128.11

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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.