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Finding the Fourth Proportional to 68.76, 94.90 and 56.46

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Solution

The fourth proportional to 68.76, 94.90 and 56.46 is: 77.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.76 : 94.90 = 56.46 : x
  2. Step 2: Convert to fraction form
    68.76/94.90 = 56.46/x
  3. Step 3: Cross multiply
    68.76x = 94.90 × 56.46
  4. Step 4: Simplify right side
    68.76x = 5,358.05
  5. Step 5: Solve for x
    x = 5,358.05/68.76
  6. Step 6: Final answer
    x = 77.92

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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.