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Finding the Fourth Proportional to 90.84, 125.28 and 61.77

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Solution

The fourth proportional to 90.84, 125.28 and 61.77 is: 85.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.84 : 125.28 = 61.77 : x
  2. Step 2: Convert to fraction form
    90.84/125.28 = 61.77/x
  3. Step 3: Cross multiply
    90.84x = 125.28 × 61.77
  4. Step 4: Simplify right side
    90.84x = 7,738.55
  5. Step 5: Solve for x
    x = 7,738.55/90.84
  6. Step 6: Final answer
    x = 85.19

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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.