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Finding the Fourth Proportional to 104.71, 144.48 and 85.27

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Solution

The fourth proportional to 104.71, 144.48 and 85.27 is: 117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.71 : 144.48 = 85.27 : x
  2. Step 2: Convert to fraction form
    104.71/144.48 = 85.27/x
  3. Step 3: Cross multiply
    104.71x = 144.48 × 85.27
  4. Step 4: Simplify right side
    104.71x = 12,319.81
  5. Step 5: Solve for x
    x = 12,319.81/104.71
  6. Step 6: Final answer
    x = 117.66

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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.