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Finding the Fourth Proportional to 71.95, 108.46 and 70.87

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Solution

The fourth proportional to 71.95, 108.46 and 70.87 is: 106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.95 : 108.46 = 70.87 : x
  2. Step 2: Convert to fraction form
    71.95/108.46 = 70.87/x
  3. Step 3: Cross multiply
    71.95x = 108.46 × 70.87
  4. Step 4: Simplify right side
    71.95x = 7,686.56
  5. Step 5: Solve for x
    x = 7,686.56/71.95
  6. Step 6: Final answer
    x = 106.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.