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Finding the Fourth Proportional to 153.88, 230.95 and 85.55

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Solution

The fourth proportional to 153.88, 230.95 and 85.55 is: 128.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.88 : 230.95 = 85.55 : x
  2. Step 2: Convert to fraction form
    153.88/230.95 = 85.55/x
  3. Step 3: Cross multiply
    153.88x = 230.95 × 85.55
  4. Step 4: Simplify right side
    153.88x = 19,756.72
  5. Step 5: Solve for x
    x = 19,756.72/153.88
  6. Step 6: Final answer
    x = 128.39

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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.