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Finding the Fourth Proportional to 85.21, 117.59 and 52.04

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Solution

The fourth proportional to 85.21, 117.59 and 52.04 is: 71.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.21 : 117.59 = 52.04 : x
  2. Step 2: Convert to fraction form
    85.21/117.59 = 52.04/x
  3. Step 3: Cross multiply
    85.21x = 117.59 × 52.04
  4. Step 4: Simplify right side
    85.21x = 6,119.22
  5. Step 5: Solve for x
    x = 6,119.22/85.21
  6. Step 6: Final answer
    x = 71.81

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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.