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Finding the Fourth Proportional to 77.86, 116.80 and 45.76

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Solution

The fourth proportional to 77.86, 116.80 and 45.76 is: 68.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.86 : 116.80 = 45.76 : x
  2. Step 2: Convert to fraction form
    77.86/116.80 = 45.76/x
  3. Step 3: Cross multiply
    77.86x = 116.80 × 45.76
  4. Step 4: Simplify right side
    77.86x = 5,344.77
  5. Step 5: Solve for x
    x = 5,344.77/77.86
  6. Step 6: Final answer
    x = 68.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.