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Finding the Fourth Proportional to 90.46, 124.82 and 67.07

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Solution

The fourth proportional to 90.46, 124.82 and 67.07 is: 92.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.46 : 124.82 = 67.07 : x
  2. Step 2: Convert to fraction form
    90.46/124.82 = 67.07/x
  3. Step 3: Cross multiply
    90.46x = 124.82 × 67.07
  4. Step 4: Simplify right side
    90.46x = 8,370.89
  5. Step 5: Solve for x
    x = 8,370.89/90.46
  6. Step 6: Final answer
    x = 92.54

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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.