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Finding the Fourth Proportional to 77.64, 106.97 and 77.45

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Solution

The fourth proportional to 77.64, 106.97 and 77.45 is: 106.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.64 : 106.97 = 77.45 : x
  2. Step 2: Convert to fraction form
    77.64/106.97 = 77.45/x
  3. Step 3: Cross multiply
    77.64x = 106.97 × 77.45
  4. Step 4: Simplify right side
    77.64x = 8,283.90
  5. Step 5: Solve for x
    x = 8,283.90/77.64
  6. Step 6: Final answer
    x = 106.70

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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.