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Finding the Fourth Proportional to 162.96, 224.90 and 97.50

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Solution

The fourth proportional to 162.96, 224.90 and 97.50 is: 134.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.96 : 224.90 = 97.50 : x
  2. Step 2: Convert to fraction form
    162.96/224.90 = 97.50/x
  3. Step 3: Cross multiply
    162.96x = 224.90 × 97.50
  4. Step 4: Simplify right side
    162.96x = 21,927.75
  5. Step 5: Solve for x
    x = 21,927.75/162.96
  6. Step 6: Final answer
    x = 134.56

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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.