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Finding the Fourth Proportional to 80.25, 110.70 and 52.58

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Solution

The fourth proportional to 80.25, 110.70 and 52.58 is: 72.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.25 : 110.70 = 52.58 : x
  2. Step 2: Convert to fraction form
    80.25/110.70 = 52.58/x
  3. Step 3: Cross multiply
    80.25x = 110.70 × 52.58
  4. Step 4: Simplify right side
    80.25x = 5,820.05
  5. Step 5: Solve for x
    x = 5,820.05/80.25
  6. Step 6: Final answer
    x = 72.52

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