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Finding the Fourth Proportional to 74.08, 109.84 and 72.70

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Solution

The fourth proportional to 74.08, 109.84 and 72.70 is: 107.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.08 : 109.84 = 72.70 : x
  2. Step 2: Convert to fraction form
    74.08/109.84 = 72.70/x
  3. Step 3: Cross multiply
    74.08x = 109.84 × 72.70
  4. Step 4: Simplify right side
    74.08x = 7,985.37
  5. Step 5: Solve for x
    x = 7,985.37/74.08
  6. Step 6: Final answer
    x = 107.79

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.