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Finding the Fourth Proportional to 82.71, 123.19 and 78.59

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Solution

The fourth proportional to 82.71, 123.19 and 78.59 is: 117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.71 : 123.19 = 78.59 : x
  2. Step 2: Convert to fraction form
    82.71/123.19 = 78.59/x
  3. Step 3: Cross multiply
    82.71x = 123.19 × 78.59
  4. Step 4: Simplify right side
    82.71x = 9,681.61
  5. Step 5: Solve for x
    x = 9,681.61/82.71
  6. Step 6: Final answer
    x = 117.05

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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.