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Finding the Fourth Proportional to 68.33, 94.16 and 56.63

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Solution

The fourth proportional to 68.33, 94.16 and 56.63 is: 78.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.33 : 94.16 = 56.63 : x
  2. Step 2: Convert to fraction form
    68.33/94.16 = 56.63/x
  3. Step 3: Cross multiply
    68.33x = 94.16 × 56.63
  4. Step 4: Simplify right side
    68.33x = 5,332.66
  5. Step 5: Solve for x
    x = 5,332.66/68.33
  6. Step 6: Final answer
    x = 78.05

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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.