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Finding the Fourth Proportional to 68.57, 94.66 and 56.91

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Solution

The fourth proportional to 68.57, 94.66 and 56.91 is: 78.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.57 : 94.66 = 56.91 : x
  2. Step 2: Convert to fraction form
    68.57/94.66 = 56.91/x
  3. Step 3: Cross multiply
    68.57x = 94.66 × 56.91
  4. Step 4: Simplify right side
    68.57x = 5,387.10
  5. Step 5: Solve for x
    x = 5,387.10/68.57
  6. Step 6: Final answer
    x = 78.57

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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.