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Finding the Fourth Proportional to 134.73, 185.77 and 85.53

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Solution

The fourth proportional to 134.73, 185.77 and 85.53 is: 117.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.73 : 185.77 = 85.53 : x
  2. Step 2: Convert to fraction form
    134.73/185.77 = 85.53/x
  3. Step 3: Cross multiply
    134.73x = 185.77 × 85.53
  4. Step 4: Simplify right side
    134.73x = 15,888.91
  5. Step 5: Solve for x
    x = 15,888.91/134.73
  6. Step 6: Final answer
    x = 117.93

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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.