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Finding the Fourth Proportional to 90.64, 125.06 and 51.82

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Solution

The fourth proportional to 90.64, 125.06 and 51.82 is: 71.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.64 : 125.06 = 51.82 : x
  2. Step 2: Convert to fraction form
    90.64/125.06 = 51.82/x
  3. Step 3: Cross multiply
    90.64x = 125.06 × 51.82
  4. Step 4: Simplify right side
    90.64x = 6,480.35
  5. Step 5: Solve for x
    x = 6,480.35/90.64
  6. Step 6: Final answer
    x = 71.50

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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.