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Finding the Fourth Proportional to 162.04, 242.82 and 89.92

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Solution

The fourth proportional to 162.04, 242.82 and 89.92 is: 134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.04 : 242.82 = 89.92 : x
  2. Step 2: Convert to fraction form
    162.04/242.82 = 89.92/x
  3. Step 3: Cross multiply
    162.04x = 242.82 × 89.92
  4. Step 4: Simplify right side
    162.04x = 21,834.37
  5. Step 5: Solve for x
    x = 21,834.37/162.04
  6. Step 6: Final answer
    x = 134.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.