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Finding the Fourth Proportional to 92.04, 126.70 and 75.64

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Solution

The fourth proportional to 92.04, 126.70 and 75.64 is: 104.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.04 : 126.70 = 75.64 : x
  2. Step 2: Convert to fraction form
    92.04/126.70 = 75.64/x
  3. Step 3: Cross multiply
    92.04x = 126.70 × 75.64
  4. Step 4: Simplify right side
    92.04x = 9,583.59
  5. Step 5: Solve for x
    x = 9,583.59/92.04
  6. Step 6: Final answer
    x = 104.12

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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.