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Finding the Fourth Proportional to 71.35, 107.13 and 46.98

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Solution

The fourth proportional to 71.35, 107.13 and 46.98 is: 70.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.35 : 107.13 = 46.98 : x
  2. Step 2: Convert to fraction form
    71.35/107.13 = 46.98/x
  3. Step 3: Cross multiply
    71.35x = 107.13 × 46.98
  4. Step 4: Simplify right side
    71.35x = 5,032.97
  5. Step 5: Solve for x
    x = 5,032.97/71.35
  6. Step 6: Final answer
    x = 70.54

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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.