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Finding the Fourth Proportional to 77.71, 116.58 and 54.93

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Solution

The fourth proportional to 77.71, 116.58 and 54.93 is: 82.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.71 : 116.58 = 54.93 : x
  2. Step 2: Convert to fraction form
    77.71/116.58 = 54.93/x
  3. Step 3: Cross multiply
    77.71x = 116.58 × 54.93
  4. Step 4: Simplify right side
    77.71x = 6,403.69
  5. Step 5: Solve for x
    x = 6,403.69/77.71
  6. Step 6: Final answer
    x = 82.41

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Why These Related Problems?

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