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Finding the Fourth Proportional to 127.70, 176.43 and 117.98

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Solution

The fourth proportional to 127.70, 176.43 and 117.98 is: 163.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.70 : 176.43 = 117.98 : x
  2. Step 2: Convert to fraction form
    127.70/176.43 = 117.98/x
  3. Step 3: Cross multiply
    127.70x = 176.43 × 117.98
  4. Step 4: Simplify right side
    127.70x = 20,815.21
  5. Step 5: Solve for x
    x = 20,815.21/127.70
  6. Step 6: Final answer
    x = 163.00

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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.