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Finding the Fourth Proportional to 162.13, 243.27 and 59.39

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Solution

The fourth proportional to 162.13, 243.27 and 59.39 is: 89.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.13 : 243.27 = 59.39 : x
  2. Step 2: Convert to fraction form
    162.13/243.27 = 59.39/x
  3. Step 3: Cross multiply
    162.13x = 243.27 × 59.39
  4. Step 4: Simplify right side
    162.13x = 14,447.50
  5. Step 5: Solve for x
    x = 14,447.50/162.13
  6. Step 6: Final answer
    x = 89.11

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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.