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Finding the Fourth Proportional to 162.60, 224.43 and 106.59

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Solution

The fourth proportional to 162.60, 224.43 and 106.59 is: 147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.60 : 224.43 = 106.59 : x
  2. Step 2: Convert to fraction form
    162.60/224.43 = 106.59/x
  3. Step 3: Cross multiply
    162.60x = 224.43 × 106.59
  4. Step 4: Simplify right side
    162.60x = 23,921.99
  5. Step 5: Solve for x
    x = 23,921.99/162.60
  6. Step 6: Final answer
    x = 147.12

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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.