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Finding the Fourth Proportional to 85.88, 127.77 and 85.12

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Solution

The fourth proportional to 85.88, 127.77 and 85.12 is: 126.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.88 : 127.77 = 85.12 : x
  2. Step 2: Convert to fraction form
    85.88/127.77 = 85.12/x
  3. Step 3: Cross multiply
    85.88x = 127.77 × 85.12
  4. Step 4: Simplify right side
    85.88x = 10,875.78
  5. Step 5: Solve for x
    x = 10,875.78/85.88
  6. Step 6: Final answer
    x = 126.64

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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.