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Finding the Fourth Proportional to 94.50, 141.80 and 90.49

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Solution

The fourth proportional to 94.50, 141.80 and 90.49 is: 135.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.50 : 141.80 = 90.49 : x
  2. Step 2: Convert to fraction form
    94.50/141.80 = 90.49/x
  3. Step 3: Cross multiply
    94.50x = 141.80 × 90.49
  4. Step 4: Simplify right side
    94.50x = 12,830.68
  5. Step 5: Solve for x
    x = 12,830.68/94.50
  6. Step 6: Final answer
    x = 135.77

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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.