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Finding the Fourth Proportional to 127.84, 176.32 and 118.56

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Solution

The fourth proportional to 127.84, 176.32 and 118.56 is: 163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.84 : 176.32 = 118.56 : x
  2. Step 2: Convert to fraction form
    127.84/176.32 = 118.56/x
  3. Step 3: Cross multiply
    127.84x = 176.32 × 118.56
  4. Step 4: Simplify right side
    127.84x = 20,904.50
  5. Step 5: Solve for x
    x = 20,904.50/127.84
  6. Step 6: Final answer
    x = 163.52

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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.