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Finding the Fourth Proportional to 162.39, 224.34 and 106.51

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Solution

The fourth proportional to 162.39, 224.34 and 106.51 is: 147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.39 : 224.34 = 106.51 : x
  2. Step 2: Convert to fraction form
    162.39/224.34 = 106.51/x
  3. Step 3: Cross multiply
    162.39x = 224.34 × 106.51
  4. Step 4: Simplify right side
    162.39x = 23,894.16
  5. Step 5: Solve for x
    x = 23,894.16/162.39
  6. Step 6: Final answer
    x = 147.14

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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.