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Finding the Fourth Proportional to 71.02, 105.82 and 68.40

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Solution

The fourth proportional to 71.02, 105.82 and 68.40 is: 101.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.02 : 105.82 = 68.40 : x
  2. Step 2: Convert to fraction form
    71.02/105.82 = 68.40/x
  3. Step 3: Cross multiply
    71.02x = 105.82 × 68.40
  4. Step 4: Simplify right side
    71.02x = 7,238.09
  5. Step 5: Solve for x
    x = 7,238.09/71.02
  6. Step 6: Final answer
    x = 101.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.