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Finding the Fourth Proportional to 77.13, 106.34 and 71.55

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Solution

The fourth proportional to 77.13, 106.34 and 71.55 is: 98.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.13 : 106.34 = 71.55 : x
  2. Step 2: Convert to fraction form
    77.13/106.34 = 71.55/x
  3. Step 3: Cross multiply
    77.13x = 106.34 × 71.55
  4. Step 4: Simplify right side
    77.13x = 7,608.27
  5. Step 5: Solve for x
    x = 7,608.27/77.13
  6. Step 6: Final answer
    x = 98.64

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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.