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Finding the Fourth Proportional to 84.17, 125.64 and 78.38

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Solution

The fourth proportional to 84.17, 125.64 and 78.38 is: 117.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.17 : 125.64 = 78.38 : x
  2. Step 2: Convert to fraction form
    84.17/125.64 = 78.38/x
  3. Step 3: Cross multiply
    84.17x = 125.64 × 78.38
  4. Step 4: Simplify right side
    84.17x = 9,847.27
  5. Step 5: Solve for x
    x = 9,847.27/84.17
  6. Step 6: Final answer
    x = 117.00

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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.