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Finding the Fourth Proportional to 71.86, 99.26 and 55.46

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Solution

The fourth proportional to 71.86, 99.26 and 55.46 is: 76.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.86 : 99.26 = 55.46 : x
  2. Step 2: Convert to fraction form
    71.86/99.26 = 55.46/x
  3. Step 3: Cross multiply
    71.86x = 99.26 × 55.46
  4. Step 4: Simplify right side
    71.86x = 5,504.96
  5. Step 5: Solve for x
    x = 5,504.96/71.86
  6. Step 6: Final answer
    x = 76.61

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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.