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Finding the Fourth Proportional to 80.20, 110.58 and 64.61

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Solution

The fourth proportional to 80.20, 110.58 and 64.61 is: 89.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.20 : 110.58 = 64.61 : x
  2. Step 2: Convert to fraction form
    80.20/110.58 = 64.61/x
  3. Step 3: Cross multiply
    80.20x = 110.58 × 64.61
  4. Step 4: Simplify right side
    80.20x = 7,144.02
  5. Step 5: Solve for x
    x = 7,144.02/80.20
  6. Step 6: Final answer
    x = 89.08

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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.