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Finding the Fourth Proportional to 90.58, 125.06 and 69.82

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Solution

The fourth proportional to 90.58, 125.06 and 69.82 is: 96.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.58 : 125.06 = 69.82 : x
  2. Step 2: Convert to fraction form
    90.58/125.06 = 69.82/x
  3. Step 3: Cross multiply
    90.58x = 125.06 × 69.82
  4. Step 4: Simplify right side
    90.58x = 8,731.69
  5. Step 5: Solve for x
    x = 8,731.69/90.58
  6. Step 6: Final answer
    x = 96.40

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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.