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Finding the Fourth Proportional to 92.32, 127.29 and 75.91

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Solution

The fourth proportional to 92.32, 127.29 and 75.91 is: 104.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.32 : 127.29 = 75.91 : x
  2. Step 2: Convert to fraction form
    92.32/127.29 = 75.91/x
  3. Step 3: Cross multiply
    92.32x = 127.29 × 75.91
  4. Step 4: Simplify right side
    92.32x = 9,662.58
  5. Step 5: Solve for x
    x = 9,662.58/92.32
  6. Step 6: Final answer
    x = 104.66

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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.