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Finding the Fourth Proportional to 90.85, 125.10 and 78.55

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Solution

The fourth proportional to 90.85, 125.10 and 78.55 is: 108.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.85 : 125.10 = 78.55 : x
  2. Step 2: Convert to fraction form
    90.85/125.10 = 78.55/x
  3. Step 3: Cross multiply
    90.85x = 125.10 × 78.55
  4. Step 4: Simplify right side
    90.85x = 9,826.61
  5. Step 5: Solve for x
    x = 9,826.61/90.85
  6. Step 6: Final answer
    x = 108.16

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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.