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Finding the Fourth Proportional to 126.40, 188.80 and 85.52

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Solution

The fourth proportional to 126.40, 188.80 and 85.52 is: 127.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.40 : 188.80 = 85.52 : x
  2. Step 2: Convert to fraction form
    126.40/188.80 = 85.52/x
  3. Step 3: Cross multiply
    126.40x = 188.80 × 85.52
  4. Step 4: Simplify right side
    126.40x = 16,146.18
  5. Step 5: Solve for x
    x = 16,146.18/126.40
  6. Step 6: Final answer
    x = 127.74

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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.