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Finding the Fourth Proportional to 77.24, 106.51 and 51.95

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Solution

The fourth proportional to 77.24, 106.51 and 51.95 is: 71.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.24 : 106.51 = 51.95 : x
  2. Step 2: Convert to fraction form
    77.24/106.51 = 51.95/x
  3. Step 3: Cross multiply
    77.24x = 106.51 × 51.95
  4. Step 4: Simplify right side
    77.24x = 5,532.93
  5. Step 5: Solve for x
    x = 5,532.93/77.24
  6. Step 6: Final answer
    x = 71.64

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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.