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Finding the Fourth Proportional to 77, 106.28 and 45.92

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Solution

The fourth proportional to 77, 106.28 and 45.92 is: 63.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77 : 106.28 = 45.92 : x
  2. Step 2: Convert to fraction form
    77/106.28 = 45.92/x
  3. Step 3: Cross multiply
    77x = 106.28 × 45.92
  4. Step 4: Simplify right side
    77x = 4,880.38
  5. Step 5: Solve for x
    x = 4,880.38/77
  6. Step 6: Final answer
    x = 63.38

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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.