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Finding the Fourth Proportional to 82.32, 122.92 and 70.77

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Solution

The fourth proportional to 82.32, 122.92 and 70.77 is: 105.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.32 : 122.92 = 70.77 : x
  2. Step 2: Convert to fraction form
    82.32/122.92 = 70.77/x
  3. Step 3: Cross multiply
    82.32x = 122.92 × 70.77
  4. Step 4: Simplify right side
    82.32x = 8,699.33
  5. Step 5: Solve for x
    x = 8,699.33/82.32
  6. Step 6: Final answer
    x = 105.68

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