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Finding the Fourth Proportional to 162.47, 243.80 and 81.47

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Solution

The fourth proportional to 162.47, 243.80 and 81.47 is: 122.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.47 : 243.80 = 81.47 : x
  2. Step 2: Convert to fraction form
    162.47/243.80 = 81.47/x
  3. Step 3: Cross multiply
    162.47x = 243.80 × 81.47
  4. Step 4: Simplify right side
    162.47x = 19,860.76
  5. Step 5: Solve for x
    x = 19,860.76/162.47
  6. Step 6: Final answer
    x = 122.25

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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.