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Finding the Fourth Proportional to 80.64, 111.32 and 53.05

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Solution

The fourth proportional to 80.64, 111.32 and 53.05 is: 73.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.64 : 111.32 = 53.05 : x
  2. Step 2: Convert to fraction form
    80.64/111.32 = 53.05/x
  3. Step 3: Cross multiply
    80.64x = 111.32 × 53.05
  4. Step 4: Simplify right side
    80.64x = 5,905.53
  5. Step 5: Solve for x
    x = 5,905.53/80.64
  6. Step 6: Final answer
    x = 73.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.