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Finding the Fourth Proportional to 127.63, 176.13 and 77.87

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Solution

The fourth proportional to 127.63, 176.13 and 77.87 is: 107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.63 : 176.13 = 77.87 : x
  2. Step 2: Convert to fraction form
    127.63/176.13 = 77.87/x
  3. Step 3: Cross multiply
    127.63x = 176.13 × 77.87
  4. Step 4: Simplify right side
    127.63x = 13,715.02
  5. Step 5: Solve for x
    x = 13,715.02/127.63
  6. Step 6: Final answer
    x = 107.46

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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.