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Finding the Fourth Proportional to 162.58, 224.37 and 88.90

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Solution

The fourth proportional to 162.58, 224.37 and 88.90 is: 122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.58 : 224.37 = 88.90 : x
  2. Step 2: Convert to fraction form
    162.58/224.37 = 88.90/x
  3. Step 3: Cross multiply
    162.58x = 224.37 × 88.90
  4. Step 4: Simplify right side
    162.58x = 19,946.11
  5. Step 5: Solve for x
    x = 19,946.11/162.58
  6. Step 6: Final answer
    x = 122.68

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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.