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Finding the Fourth Proportional to 82.29, 123.18 and 70.89

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Solution

The fourth proportional to 82.29, 123.18 and 70.89 is: 106.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.29 : 123.18 = 70.89 : x
  2. Step 2: Convert to fraction form
    82.29/123.18 = 70.89/x
  3. Step 3: Cross multiply
    82.29x = 123.18 × 70.89
  4. Step 4: Simplify right side
    82.29x = 8,732.23
  5. Step 5: Solve for x
    x = 8,732.23/82.29
  6. Step 6: Final answer
    x = 106.12

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