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Finding the Fourth Proportional to 77.64, 106.46 and 76.02

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Solution

The fourth proportional to 77.64, 106.46 and 76.02 is: 104.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.64 : 106.46 = 76.02 : x
  2. Step 2: Convert to fraction form
    77.64/106.46 = 76.02/x
  3. Step 3: Cross multiply
    77.64x = 106.46 × 76.02
  4. Step 4: Simplify right side
    77.64x = 8,092.71
  5. Step 5: Solve for x
    x = 8,092.71/77.64
  6. Step 6: Final answer
    x = 104.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.