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Finding the Fourth Proportional to 162.35, 224.10 and 95.99

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Solution

The fourth proportional to 162.35, 224.10 and 95.99 is: 132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.35 : 224.10 = 95.99 : x
  2. Step 2: Convert to fraction form
    162.35/224.10 = 95.99/x
  3. Step 3: Cross multiply
    162.35x = 224.10 × 95.99
  4. Step 4: Simplify right side
    162.35x = 21,511.36
  5. Step 5: Solve for x
    x = 21,511.36/162.35
  6. Step 6: Final answer
    x = 132.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.