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Finding the Fourth Proportional to 68.91, 95.13 and 56.70

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Solution

The fourth proportional to 68.91, 95.13 and 56.70 is: 78.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.91 : 95.13 = 56.70 : x
  2. Step 2: Convert to fraction form
    68.91/95.13 = 56.70/x
  3. Step 3: Cross multiply
    68.91x = 95.13 × 56.70
  4. Step 4: Simplify right side
    68.91x = 5,393.87
  5. Step 5: Solve for x
    x = 5,393.87/68.91
  6. Step 6: Final answer
    x = 78.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.