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Finding the Fourth Proportional to 68.01, 93.63 and 59.81

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Solution

The fourth proportional to 68.01, 93.63 and 59.81 is: 82.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.01 : 93.63 = 59.81 : x
  2. Step 2: Convert to fraction form
    68.01/93.63 = 59.81/x
  3. Step 3: Cross multiply
    68.01x = 93.63 × 59.81
  4. Step 4: Simplify right side
    68.01x = 5,600.01
  5. Step 5: Solve for x
    x = 5,600.01/68.01
  6. Step 6: Final answer
    x = 82.34

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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.