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Finding the Fourth Proportional to 134.40, 185.42 and 85.27

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Solution

The fourth proportional to 134.40, 185.42 and 85.27 is: 117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.40 : 185.42 = 85.27 : x
  2. Step 2: Convert to fraction form
    134.40/185.42 = 85.27/x
  3. Step 3: Cross multiply
    134.40x = 185.42 × 85.27
  4. Step 4: Simplify right side
    134.40x = 15,810.51
  5. Step 5: Solve for x
    x = 15,810.51/134.40
  6. Step 6: Final answer
    x = 117.64

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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.