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Finding the Fourth Proportional to 85.34, 127.08 and 83.46

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Solution

The fourth proportional to 85.34, 127.08 and 83.46 is: 124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.34 : 127.08 = 83.46 : x
  2. Step 2: Convert to fraction form
    85.34/127.08 = 83.46/x
  3. Step 3: Cross multiply
    85.34x = 127.08 × 83.46
  4. Step 4: Simplify right side
    85.34x = 10,606.10
  5. Step 5: Solve for x
    x = 10,606.10/85.34
  6. Step 6: Final answer
    x = 124.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.