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Finding the Fourth Proportional to 71.87, 107.38 and 45.98

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Solution

The fourth proportional to 71.87, 107.38 and 45.98 is: 68.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.87 : 107.38 = 45.98 : x
  2. Step 2: Convert to fraction form
    71.87/107.38 = 45.98/x
  3. Step 3: Cross multiply
    71.87x = 107.38 × 45.98
  4. Step 4: Simplify right side
    71.87x = 4,937.60
  5. Step 5: Solve for x
    x = 4,937.60/71.87
  6. Step 6: Final answer
    x = 68.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.