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Finding the Fourth Proportional to 80.69, 111.08 and 64.22

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Solution

The fourth proportional to 80.69, 111.08 and 64.22 is: 88.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.69 : 111.08 = 64.22 : x
  2. Step 2: Convert to fraction form
    80.69/111.08 = 64.22/x
  3. Step 3: Cross multiply
    80.69x = 111.08 × 64.22
  4. Step 4: Simplify right side
    80.69x = 7,133.16
  5. Step 5: Solve for x
    x = 7,133.16/80.69
  6. Step 6: Final answer
    x = 88.41

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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.