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Finding the Fourth Proportional to 77.11, 106.51 and 71.64

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Solution

The fourth proportional to 77.11, 106.51 and 71.64 is: 98.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.11 : 106.51 = 71.64 : x
  2. Step 2: Convert to fraction form
    77.11/106.51 = 71.64/x
  3. Step 3: Cross multiply
    77.11x = 106.51 × 71.64
  4. Step 4: Simplify right side
    77.11x = 7,630.47
  5. Step 5: Solve for x
    x = 7,630.47/77.11
  6. Step 6: Final answer
    x = 98.96

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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.