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Finding the Fourth Proportional to 68.01, 93.71 and 56.29

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Solution

The fourth proportional to 68.01, 93.71 and 56.29 is: 77.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.01 : 93.71 = 56.29 : x
  2. Step 2: Convert to fraction form
    68.01/93.71 = 56.29/x
  3. Step 3: Cross multiply
    68.01x = 93.71 × 56.29
  4. Step 4: Simplify right side
    68.01x = 5,274.80
  5. Step 5: Solve for x
    x = 5,274.80/68.01
  6. Step 6: Final answer
    x = 77.56

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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.