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Finding the Fourth Proportional to 77.66, 106.95 and 73.54

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Solution

The fourth proportional to 77.66, 106.95 and 73.54 is: 101.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.66 : 106.95 = 73.54 : x
  2. Step 2: Convert to fraction form
    77.66/106.95 = 73.54/x
  3. Step 3: Cross multiply
    77.66x = 106.95 × 73.54
  4. Step 4: Simplify right side
    77.66x = 7,865.51
  5. Step 5: Solve for x
    x = 7,865.51/77.66
  6. Step 6: Final answer
    x = 101.28

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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.