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Finding the Fourth Proportional to 134.67, 185.64 and 90.33

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Solution

The fourth proportional to 134.67, 185.64 and 90.33 is: 124.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.67 : 185.64 = 90.33 : x
  2. Step 2: Convert to fraction form
    134.67/185.64 = 90.33/x
  3. Step 3: Cross multiply
    134.67x = 185.64 × 90.33
  4. Step 4: Simplify right side
    134.67x = 16,768.86
  5. Step 5: Solve for x
    x = 16,768.86/134.67
  6. Step 6: Final answer
    x = 124.52

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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.