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Finding the Fourth Proportional to 112.96, 155.91 and 69.34

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Solution

The fourth proportional to 112.96, 155.91 and 69.34 is: 95.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.96 : 155.91 = 69.34 : x
  2. Step 2: Convert to fraction form
    112.96/155.91 = 69.34/x
  3. Step 3: Cross multiply
    112.96x = 155.91 × 69.34
  4. Step 4: Simplify right side
    112.96x = 10,810.80
  5. Step 5: Solve for x
    x = 10,810.80/112.96
  6. Step 6: Final answer
    x = 95.70

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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.