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Finding the Fourth Proportional to 68.96, 95.20 and 42.76

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Solution

The fourth proportional to 68.96, 95.20 and 42.76 is: 59.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.96 : 95.20 = 42.76 : x
  2. Step 2: Convert to fraction form
    68.96/95.20 = 42.76/x
  3. Step 3: Cross multiply
    68.96x = 95.20 × 42.76
  4. Step 4: Simplify right side
    68.96x = 4,070.86
  5. Step 5: Solve for x
    x = 4,070.86/68.96
  6. Step 6: Final answer
    x = 59.04

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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.