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Finding the Fourth Proportional to 76.98, 106.32 and 58.55

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Solution

The fourth proportional to 76.98, 106.32 and 58.55 is: 80.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.98 : 106.32 = 58.55 : x
  2. Step 2: Convert to fraction form
    76.98/106.32 = 58.55/x
  3. Step 3: Cross multiply
    76.98x = 106.32 × 58.55
  4. Step 4: Simplify right side
    76.98x = 6,224.50
  5. Step 5: Solve for x
    x = 6,224.50/76.98
  6. Step 6: Final answer
    x = 80.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.