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Finding the Fourth Proportional to 162.69, 224.50 and 89.00

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Solution

The fourth proportional to 162.69, 224.50 and 89.00 is: 122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.69 : 224.50 = 89.00 : x
  2. Step 2: Convert to fraction form
    162.69/224.50 = 89.00/x
  3. Step 3: Cross multiply
    162.69x = 224.50 × 89.00
  4. Step 4: Simplify right side
    162.69x = 19,981.37
  5. Step 5: Solve for x
    x = 19,981.37/162.69
  6. Step 6: Final answer
    x = 122.82

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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.