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Finding the Fourth Proportional to 79.95, 110.31 and 48.87

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Solution

The fourth proportional to 79.95, 110.31 and 48.87 is: 67.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.95 : 110.31 = 48.87 : x
  2. Step 2: Convert to fraction form
    79.95/110.31 = 48.87/x
  3. Step 3: Cross multiply
    79.95x = 110.31 × 48.87
  4. Step 4: Simplify right side
    79.95x = 5,390.77
  5. Step 5: Solve for x
    x = 5,390.77/79.95
  6. Step 6: Final answer
    x = 67.43

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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.