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Finding the Fourth Proportional to 162.59, 243.59 and 89.39

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Solution

The fourth proportional to 162.59, 243.59 and 89.39 is: 133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.59 : 243.59 = 89.39 : x
  2. Step 2: Convert to fraction form
    162.59/243.59 = 89.39/x
  3. Step 3: Cross multiply
    162.59x = 243.59 × 89.39
  4. Step 4: Simplify right side
    162.59x = 21,773.18
  5. Step 5: Solve for x
    x = 21,773.18/162.59
  6. Step 6: Final answer
    x = 133.92

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