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Finding the Fourth Proportional to 90.65, 135.30 and 83.43

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Solution

The fourth proportional to 90.65, 135.30 and 83.43 is: 124.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.65 : 135.30 = 83.43 : x
  2. Step 2: Convert to fraction form
    90.65/135.30 = 83.43/x
  3. Step 3: Cross multiply
    90.65x = 135.30 × 83.43
  4. Step 4: Simplify right side
    90.65x = 11,288.08
  5. Step 5: Solve for x
    x = 11,288.08/90.65
  6. Step 6: Final answer
    x = 124.53

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Why These Related Problems?

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