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Finding the Fourth Proportional to 78.50, 108.27 and 70.71

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Solution

The fourth proportional to 78.50, 108.27 and 70.71 is: 97.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.50 : 108.27 = 70.71 : x
  2. Step 2: Convert to fraction form
    78.50/108.27 = 70.71/x
  3. Step 3: Cross multiply
    78.50x = 108.27 × 70.71
  4. Step 4: Simplify right side
    78.50x = 7,655.77
  5. Step 5: Solve for x
    x = 7,655.77/78.50
  6. Step 6: Final answer
    x = 97.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.