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Finding the Fourth Proportional to 162.90, 224.27 and 126

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Solution

The fourth proportional to 162.90, 224.27 and 126 is: 173.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.90 : 224.27 = 126 : x
  2. Step 2: Convert to fraction form
    162.90/224.27 = 126/x
  3. Step 3: Cross multiply
    162.90x = 224.27 × 126
  4. Step 4: Simplify right side
    162.90x = 28,258.02
  5. Step 5: Solve for x
    x = 28,258.02/162.90
  6. Step 6: Final answer
    x = 173.47

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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.