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Finding the Fourth Proportional to 72.45, 99.96 and 47.88

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Solution

The fourth proportional to 72.45, 99.96 and 47.88 is: 66.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.45 : 99.96 = 47.88 : x
  2. Step 2: Convert to fraction form
    72.45/99.96 = 47.88/x
  3. Step 3: Cross multiply
    72.45x = 99.96 × 47.88
  4. Step 4: Simplify right side
    72.45x = 4,786.08
  5. Step 5: Solve for x
    x = 4,786.08/72.45
  6. Step 6: Final answer
    x = 66.06

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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.