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Finding the Fourth Proportional to 162.51, 224.19 and 100.26

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Solution

The fourth proportional to 162.51, 224.19 and 100.26 is: 138.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.51 : 224.19 = 100.26 : x
  2. Step 2: Convert to fraction form
    162.51/224.19 = 100.26/x
  3. Step 3: Cross multiply
    162.51x = 224.19 × 100.26
  4. Step 4: Simplify right side
    162.51x = 22,477.29
  5. Step 5: Solve for x
    x = 22,477.29/162.51
  6. Step 6: Final answer
    x = 138.31

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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.