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Finding the Fourth Proportional to 85.21, 127.71 and 56.34

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Solution

The fourth proportional to 85.21, 127.71 and 56.34 is: 84.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.21 : 127.71 = 56.34 : x
  2. Step 2: Convert to fraction form
    85.21/127.71 = 56.34/x
  3. Step 3: Cross multiply
    85.21x = 127.71 × 56.34
  4. Step 4: Simplify right side
    85.21x = 7,195.18
  5. Step 5: Solve for x
    x = 7,195.18/85.21
  6. Step 6: Final answer
    x = 84.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.