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Finding the Fourth Proportional to 68.92, 95.10 and 42.70

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Solution

The fourth proportional to 68.92, 95.10 and 42.70 is: 58.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.92 : 95.10 = 42.70 : x
  2. Step 2: Convert to fraction form
    68.92/95.10 = 42.70/x
  3. Step 3: Cross multiply
    68.92x = 95.10 × 42.70
  4. Step 4: Simplify right side
    68.92x = 4,060.77
  5. Step 5: Solve for x
    x = 4,060.77/68.92
  6. Step 6: Final answer
    x = 58.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.