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Finding the Fourth Proportional to 162.59, 224.42 and 103.64

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Solution

The fourth proportional to 162.59, 224.42 and 103.64 is: 143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.59 : 224.42 = 103.64 : x
  2. Step 2: Convert to fraction form
    162.59/224.42 = 103.64/x
  3. Step 3: Cross multiply
    162.59x = 224.42 × 103.64
  4. Step 4: Simplify right side
    162.59x = 23,258.89
  5. Step 5: Solve for x
    x = 23,258.89/162.59
  6. Step 6: Final answer
    x = 143.05

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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.