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Finding the Fourth Proportional to 162.18, 243.12 and 59.43

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Solution

The fourth proportional to 162.18, 243.12 and 59.43 is: 89.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.18 : 243.12 = 59.43 : x
  2. Step 2: Convert to fraction form
    162.18/243.12 = 59.43/x
  3. Step 3: Cross multiply
    162.18x = 243.12 × 59.43
  4. Step 4: Simplify right side
    162.18x = 14,448.62
  5. Step 5: Solve for x
    x = 14,448.62/162.18
  6. Step 6: Final answer
    x = 89.09

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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.