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Finding the Fourth Proportional to 127.69, 191.32 and 91.46

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Solution

The fourth proportional to 127.69, 191.32 and 91.46 is: 137.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.69 : 191.32 = 91.46 : x
  2. Step 2: Convert to fraction form
    127.69/191.32 = 91.46/x
  3. Step 3: Cross multiply
    127.69x = 191.32 × 91.46
  4. Step 4: Simplify right side
    127.69x = 17,498.13
  5. Step 5: Solve for x
    x = 17,498.13/127.69
  6. Step 6: Final answer
    x = 137.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.