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Finding the Fourth Proportional to 79.94, 110.33 and 47.20

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Solution

The fourth proportional to 79.94, 110.33 and 47.20 is: 65.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.94 : 110.33 = 47.20 : x
  2. Step 2: Convert to fraction form
    79.94/110.33 = 47.20/x
  3. Step 3: Cross multiply
    79.94x = 110.33 × 47.20
  4. Step 4: Simplify right side
    79.94x = 5,207.45
  5. Step 5: Solve for x
    x = 5,207.45/79.94
  6. Step 6: Final answer
    x = 65.14

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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.