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Finding the Fourth Proportional to 47.95, 66.15 and 28.28

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Solution

The fourth proportional to 47.95, 66.15 and 28.28 is: 39.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.95 : 66.15 = 28.28 : x
  2. Step 2: Convert to fraction form
    47.95/66.15 = 28.28/x
  3. Step 3: Cross multiply
    47.95x = 66.15 × 28.28
  4. Step 4: Simplify right side
    47.95x = 1,870.72
  5. Step 5: Solve for x
    x = 1,870.72/47.95
  6. Step 6: Final answer
    x = 39.01

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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.