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Finding the Fourth Proportional to 162.51, 224.26 and 88.83

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Solution

The fourth proportional to 162.51, 224.26 and 88.83 is: 122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.51 : 224.26 = 88.83 : x
  2. Step 2: Convert to fraction form
    162.51/224.26 = 88.83/x
  3. Step 3: Cross multiply
    162.51x = 224.26 × 88.83
  4. Step 4: Simplify right side
    162.51x = 19,920.68
  5. Step 5: Solve for x
    x = 19,920.68/162.51
  6. Step 6: Final answer
    x = 122.58

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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.