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Finding the Fourth Proportional to 72.32, 99.83 and 47.75

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Solution

The fourth proportional to 72.32, 99.83 and 47.75 is: 65.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.32 : 99.83 = 47.75 : x
  2. Step 2: Convert to fraction form
    72.32/99.83 = 47.75/x
  3. Step 3: Cross multiply
    72.32x = 99.83 × 47.75
  4. Step 4: Simplify right side
    72.32x = 4,766.89
  5. Step 5: Solve for x
    x = 4,766.89/72.32
  6. Step 6: Final answer
    x = 65.91

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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.