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Finding the Fourth Proportional to 77.50, 106.77 and 71.29

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Solution

The fourth proportional to 77.50, 106.77 and 71.29 is: 98.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.50 : 106.77 = 71.29 : x
  2. Step 2: Convert to fraction form
    77.50/106.77 = 71.29/x
  3. Step 3: Cross multiply
    77.50x = 106.77 × 71.29
  4. Step 4: Simplify right side
    77.50x = 7,611.63
  5. Step 5: Solve for x
    x = 7,611.63/77.50
  6. Step 6: Final answer
    x = 98.21

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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.