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Finding the Fourth Proportional to 73.16, 109.84 and 72.83

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Solution

The fourth proportional to 73.16, 109.84 and 72.83 is: 109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.16 : 109.84 = 72.83 : x
  2. Step 2: Convert to fraction form
    73.16/109.84 = 72.83/x
  3. Step 3: Cross multiply
    73.16x = 109.84 × 72.83
  4. Step 4: Simplify right side
    73.16x = 7,999.74
  5. Step 5: Solve for x
    x = 7,999.74/73.16
  6. Step 6: Final answer
    x = 109.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.