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Finding the Fourth Proportional to 127.64, 176.23 and 83.42

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Solution

The fourth proportional to 127.64, 176.23 and 83.42 is: 115.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.64 : 176.23 = 83.42 : x
  2. Step 2: Convert to fraction form
    127.64/176.23 = 83.42/x
  3. Step 3: Cross multiply
    127.64x = 176.23 × 83.42
  4. Step 4: Simplify right side
    127.64x = 14,701.11
  5. Step 5: Solve for x
    x = 14,701.11/127.64
  6. Step 6: Final answer
    x = 115.18

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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.