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Finding the Fourth Proportional to 68.06, 101.96 and 42.40

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Solution

The fourth proportional to 68.06, 101.96 and 42.40 is: 63.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.06 : 101.96 = 42.40 : x
  2. Step 2: Convert to fraction form
    68.06/101.96 = 42.40/x
  3. Step 3: Cross multiply
    68.06x = 101.96 × 42.40
  4. Step 4: Simplify right side
    68.06x = 4,323.10
  5. Step 5: Solve for x
    x = 4,323.10/68.06
  6. Step 6: Final answer
    x = 63.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.