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Finding the Fourth Proportional to 90.15, 134.56 and 82.92

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Solution

The fourth proportional to 90.15, 134.56 and 82.92 is: 123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.15 : 134.56 = 82.92 : x
  2. Step 2: Convert to fraction form
    90.15/134.56 = 82.92/x
  3. Step 3: Cross multiply
    90.15x = 134.56 × 82.92
  4. Step 4: Simplify right side
    90.15x = 11,157.72
  5. Step 5: Solve for x
    x = 11,157.72/90.15
  6. Step 6: Final answer
    x = 123.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.