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Finding the Fourth Proportional to 82.94, 123.91 and 61.18

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Solution

The fourth proportional to 82.94, 123.91 and 61.18 is: 91.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.94 : 123.91 = 61.18 : x
  2. Step 2: Convert to fraction form
    82.94/123.91 = 61.18/x
  3. Step 3: Cross multiply
    82.94x = 123.91 × 61.18
  4. Step 4: Simplify right side
    82.94x = 7,580.81
  5. Step 5: Solve for x
    x = 7,580.81/82.94
  6. Step 6: Final answer
    x = 91.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.