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Finding the Fourth Proportional to 90.80, 135.64 and 80.64

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Solution

The fourth proportional to 90.80, 135.64 and 80.64 is: 120.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.80 : 135.64 = 80.64 : x
  2. Step 2: Convert to fraction form
    90.80/135.64 = 80.64/x
  3. Step 3: Cross multiply
    90.80x = 135.64 × 80.64
  4. Step 4: Simplify right side
    90.80x = 10,938.01
  5. Step 5: Solve for x
    x = 10,938.01/90.80
  6. Step 6: Final answer
    x = 120.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.