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Finding the Fourth Proportional to 82.53, 113.61 and 65.10

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Solution

The fourth proportional to 82.53, 113.61 and 65.10 is: 89.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.53 : 113.61 = 65.10 : x
  2. Step 2: Convert to fraction form
    82.53/113.61 = 65.10/x
  3. Step 3: Cross multiply
    82.53x = 113.61 × 65.10
  4. Step 4: Simplify right side
    82.53x = 7,396.01
  5. Step 5: Solve for x
    x = 7,396.01/82.53
  6. Step 6: Final answer
    x = 89.62

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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.