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Finding the Fourth Proportional to 162.42, 224.00 and 109.95

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Solution

The fourth proportional to 162.42, 224.00 and 109.95 is: 151.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.42 : 224.00 = 109.95 : x
  2. Step 2: Convert to fraction form
    162.42/224.00 = 109.95/x
  3. Step 3: Cross multiply
    162.42x = 224.00 × 109.95
  4. Step 4: Simplify right side
    162.42x = 24,627.13
  5. Step 5: Solve for x
    x = 24,627.13/162.42
  6. Step 6: Final answer
    x = 151.63

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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.