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Finding the Fourth Proportional to 80.76, 111.27 and 70.50

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Solution

The fourth proportional to 80.76, 111.27 and 70.50 is: 97.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.76 : 111.27 = 70.50 : x
  2. Step 2: Convert to fraction form
    80.76/111.27 = 70.50/x
  3. Step 3: Cross multiply
    80.76x = 111.27 × 70.50
  4. Step 4: Simplify right side
    80.76x = 7,844.54
  5. Step 5: Solve for x
    x = 7,844.54/80.76
  6. Step 6: Final answer
    x = 97.13

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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.