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Finding the Fourth Proportional to 47.97, 72.30 and 45.78

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Solution

The fourth proportional to 47.97, 72.30 and 45.78 is: 69.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.97 : 72.30 = 45.78 : x
  2. Step 2: Convert to fraction form
    47.97/72.30 = 45.78/x
  3. Step 3: Cross multiply
    47.97x = 72.30 × 45.78
  4. Step 4: Simplify right side
    47.97x = 3,309.89
  5. Step 5: Solve for x
    x = 3,309.89/47.97
  6. Step 6: Final answer
    x = 69.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.