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Finding the Fourth Proportional to 77.91, 116.98 and 56.38

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Solution

The fourth proportional to 77.91, 116.98 and 56.38 is: 84.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.91 : 116.98 = 56.38 : x
  2. Step 2: Convert to fraction form
    77.91/116.98 = 56.38/x
  3. Step 3: Cross multiply
    77.91x = 116.98 × 56.38
  4. Step 4: Simplify right side
    77.91x = 6,595.85
  5. Step 5: Solve for x
    x = 6,595.85/77.91
  6. Step 6: Final answer
    x = 84.66

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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.