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Finding the Fourth Proportional to 80.28, 110.88 and 64.62

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Solution

The fourth proportional to 80.28, 110.88 and 64.62 is: 89.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.28 : 110.88 = 64.62 : x
  2. Step 2: Convert to fraction form
    80.28/110.88 = 64.62/x
  3. Step 3: Cross multiply
    80.28x = 110.88 × 64.62
  4. Step 4: Simplify right side
    80.28x = 7,165.07
  5. Step 5: Solve for x
    x = 7,165.07/80.28
  6. Step 6: Final answer
    x = 89.25

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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.