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Finding the Fourth Proportional to 77.59, 106.14 and 76.40

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Solution

The fourth proportional to 77.59, 106.14 and 76.40 is: 104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.59 : 106.14 = 76.40 : x
  2. Step 2: Convert to fraction form
    77.59/106.14 = 76.40/x
  3. Step 3: Cross multiply
    77.59x = 106.14 × 76.40
  4. Step 4: Simplify right side
    77.59x = 8,109.10
  5. Step 5: Solve for x
    x = 8,109.10/77.59
  6. Step 6: Final answer
    x = 104.51

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.