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Finding the Fourth Proportional to 162.81, 224.60 and 110.40

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Solution

The fourth proportional to 162.81, 224.60 and 110.40 is: 152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.81 : 224.60 = 110.40 : x
  2. Step 2: Convert to fraction form
    162.81/224.60 = 110.40/x
  3. Step 3: Cross multiply
    162.81x = 224.60 × 110.40
  4. Step 4: Simplify right side
    162.81x = 24,796.12
  5. Step 5: Solve for x
    x = 24,796.12/162.81
  6. Step 6: Final answer
    x = 152.30

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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.