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Finding the Fourth Proportional to 127.88, 176.47 and 75.46

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Solution

The fourth proportional to 127.88, 176.47 and 75.46 is: 104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.88 : 176.47 = 75.46 : x
  2. Step 2: Convert to fraction form
    127.88/176.47 = 75.46/x
  3. Step 3: Cross multiply
    127.88x = 176.47 × 75.46
  4. Step 4: Simplify right side
    127.88x = 13,316.43
  5. Step 5: Solve for x
    x = 13,316.43/127.88
  6. Step 6: Final answer
    x = 104.13

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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.