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Finding the Fourth Proportional to 162.99, 224.87 and 100.80

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Solution

The fourth proportional to 162.99, 224.87 and 100.80 is: 139.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.99 : 224.87 = 100.80 : x
  2. Step 2: Convert to fraction form
    162.99/224.87 = 100.80/x
  3. Step 3: Cross multiply
    162.99x = 224.87 × 100.80
  4. Step 4: Simplify right side
    162.99x = 22,666.39
  5. Step 5: Solve for x
    x = 22,666.39/162.99
  6. Step 6: Final answer
    x = 139.07

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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.