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Finding the Fourth Proportional to 77.67, 116.45 and 56.00

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Solution

The fourth proportional to 77.67, 116.45 and 56.00 is: 83.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.67 : 116.45 = 56.00 : x
  2. Step 2: Convert to fraction form
    77.67/116.45 = 56.00/x
  3. Step 3: Cross multiply
    77.67x = 116.45 × 56.00
  4. Step 4: Simplify right side
    77.67x = 6,520.34
  5. Step 5: Solve for x
    x = 6,520.34/77.67
  6. Step 6: Final answer
    x = 83.95

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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.