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Finding the Fourth Proportional to 90.57, 125.04 and 57.84

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Solution

The fourth proportional to 90.57, 125.04 and 57.84 is: 79.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.57 : 125.04 = 57.84 : x
  2. Step 2: Convert to fraction form
    90.57/125.04 = 57.84/x
  3. Step 3: Cross multiply
    90.57x = 125.04 × 57.84
  4. Step 4: Simplify right side
    90.57x = 7,232.06
  5. Step 5: Solve for x
    x = 7,232.06/90.57
  6. Step 6: Final answer
    x = 79.85

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Why These Related Problems?

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