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Finding the Fourth Proportional to 77.90, 116.90 and 57.66

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Solution

The fourth proportional to 77.90, 116.90 and 57.66 is: 86.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.90 : 116.90 = 57.66 : x
  2. Step 2: Convert to fraction form
    77.90/116.90 = 57.66/x
  3. Step 3: Cross multiply
    77.90x = 116.90 × 57.66
  4. Step 4: Simplify right side
    77.90x = 6,739.58
  5. Step 5: Solve for x
    x = 6,739.58/77.90
  6. Step 6: Final answer
    x = 86.52

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Why These Related Problems?

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