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Finding the Fourth Proportional to 82.69, 114.06 and 61.95

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Solution

The fourth proportional to 82.69, 114.06 and 61.95 is: 85.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.69 : 114.06 = 61.95 : x
  2. Step 2: Convert to fraction form
    82.69/114.06 = 61.95/x
  3. Step 3: Cross multiply
    82.69x = 114.06 × 61.95
  4. Step 4: Simplify right side
    82.69x = 7,066.02
  5. Step 5: Solve for x
    x = 7,066.02/82.69
  6. Step 6: Final answer
    x = 85.45

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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.