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Finding the Fourth Proportional to 82.58, 113.87 and 67.58

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Solution

The fourth proportional to 82.58, 113.87 and 67.58 is: 93.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.58 : 113.87 = 67.58 : x
  2. Step 2: Convert to fraction form
    82.58/113.87 = 67.58/x
  3. Step 3: Cross multiply
    82.58x = 113.87 × 67.58
  4. Step 4: Simplify right side
    82.58x = 7,696.02
  5. Step 5: Solve for x
    x = 7,696.02/82.58
  6. Step 6: Final answer
    x = 93.19

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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.