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Finding the Fourth Proportional to 162.68, 224.51 and 92.74

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Solution

The fourth proportional to 162.68, 224.51 and 92.74 is: 127.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.68 : 224.51 = 92.74 : x
  2. Step 2: Convert to fraction form
    162.68/224.51 = 92.74/x
  3. Step 3: Cross multiply
    162.68x = 224.51 × 92.74
  4. Step 4: Simplify right side
    162.68x = 20,822.02
  5. Step 5: Solve for x
    x = 20,822.02/162.68
  6. Step 6: Final answer
    x = 127.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.