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Finding the Fourth Proportional to 77.90, 116.86 and 34.56

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Solution

The fourth proportional to 77.90, 116.86 and 34.56 is: 51.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.90 : 116.86 = 34.56 : x
  2. Step 2: Convert to fraction form
    77.90/116.86 = 34.56/x
  3. Step 3: Cross multiply
    77.90x = 116.86 × 34.56
  4. Step 4: Simplify right side
    77.90x = 4,038.51
  5. Step 5: Solve for x
    x = 4,038.51/77.90
  6. Step 6: Final answer
    x = 51.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.