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Finding the Fourth Proportional to 127.11, 174.92 and 112.53

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Solution

The fourth proportional to 127.11, 174.92 and 112.53 is: 154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.11 : 174.92 = 112.53 : x
  2. Step 2: Convert to fraction form
    127.11/174.92 = 112.53/x
  3. Step 3: Cross multiply
    127.11x = 174.92 × 112.53
  4. Step 4: Simplify right side
    127.11x = 19,683.18
  5. Step 5: Solve for x
    x = 19,683.18/127.11
  6. Step 6: Final answer
    x = 154.85

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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.