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Finding the Fourth Proportional to 82.16, 113.43 and 62.72

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Solution

The fourth proportional to 82.16, 113.43 and 62.72 is: 86.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.16 : 113.43 = 62.72 : x
  2. Step 2: Convert to fraction form
    82.16/113.43 = 62.72/x
  3. Step 3: Cross multiply
    82.16x = 113.43 × 62.72
  4. Step 4: Simplify right side
    82.16x = 7,114.02
  5. Step 5: Solve for x
    x = 7,114.02/82.16
  6. Step 6: Final answer
    x = 86.59

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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.