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Finding the Fourth Proportional to 162.47, 224.17 and 92.51

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Solution

The fourth proportional to 162.47, 224.17 and 92.51 is: 127.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.47 : 224.17 = 92.51 : x
  2. Step 2: Convert to fraction form
    162.47/224.17 = 92.51/x
  3. Step 3: Cross multiply
    162.47x = 224.17 × 92.51
  4. Step 4: Simplify right side
    162.47x = 20,737.50
  5. Step 5: Solve for x
    x = 20,737.50/162.47
  6. Step 6: Final answer
    x = 127.64

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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.