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Finding the Fourth Proportional to 80.14, 119.78 and 58.28

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Solution

The fourth proportional to 80.14, 119.78 and 58.28 is: 87.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.14 : 119.78 = 58.28 : x
  2. Step 2: Convert to fraction form
    80.14/119.78 = 58.28/x
  3. Step 3: Cross multiply
    80.14x = 119.78 × 58.28
  4. Step 4: Simplify right side
    80.14x = 6,980.78
  5. Step 5: Solve for x
    x = 6,980.78/80.14
  6. Step 6: Final answer
    x = 87.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.