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Finding the Fourth Proportional to 74.06, 111.14 and 39.83

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Solution

The fourth proportional to 74.06, 111.14 and 39.83 is: 59.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.06 : 111.14 = 39.83 : x
  2. Step 2: Convert to fraction form
    74.06/111.14 = 39.83/x
  3. Step 3: Cross multiply
    74.06x = 111.14 × 39.83
  4. Step 4: Simplify right side
    74.06x = 4,426.71
  5. Step 5: Solve for x
    x = 4,426.71/74.06
  6. Step 6: Final answer
    x = 59.77

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