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Finding the Fourth Proportional to 82.66, 114.18 and 62.09

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Solution

The fourth proportional to 82.66, 114.18 and 62.09 is: 85.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.66 : 114.18 = 62.09 : x
  2. Step 2: Convert to fraction form
    82.66/114.18 = 62.09/x
  3. Step 3: Cross multiply
    82.66x = 114.18 × 62.09
  4. Step 4: Simplify right side
    82.66x = 7,089.36
  5. Step 5: Solve for x
    x = 7,089.36/82.66
  6. Step 6: Final answer
    x = 85.77

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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.