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Finding the Fourth Proportional to 82.36, 113.47 and 64.68

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Solution

The fourth proportional to 82.36, 113.47 and 64.68 is: 89.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.36 : 113.47 = 64.68 : x
  2. Step 2: Convert to fraction form
    82.36/113.47 = 64.68/x
  3. Step 3: Cross multiply
    82.36x = 113.47 × 64.68
  4. Step 4: Simplify right side
    82.36x = 7,338.65
  5. Step 5: Solve for x
    x = 7,338.65/82.36
  6. Step 6: Final answer
    x = 89.10

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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.