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Finding the Fourth Proportional to 135.98, 204.13 and 90.37

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Solution

The fourth proportional to 135.98, 204.13 and 90.37 is: 135.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.98 : 204.13 = 90.37 : x
  2. Step 2: Convert to fraction form
    135.98/204.13 = 90.37/x
  3. Step 3: Cross multiply
    135.98x = 204.13 × 90.37
  4. Step 4: Simplify right side
    135.98x = 18,447.23
  5. Step 5: Solve for x
    x = 18,447.23/135.98
  6. Step 6: Final answer
    x = 135.66

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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.