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Finding the Fourth Proportional to 71.93, 107.84 and 49.01

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Solution

The fourth proportional to 71.93, 107.84 and 49.01 is: 73.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.93 : 107.84 = 49.01 : x
  2. Step 2: Convert to fraction form
    71.93/107.84 = 49.01/x
  3. Step 3: Cross multiply
    71.93x = 107.84 × 49.01
  4. Step 4: Simplify right side
    71.93x = 5,284.82
  5. Step 5: Solve for x
    x = 5,284.82/71.93
  6. Step 6: Final answer
    x = 73.47

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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.