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Finding the Fourth Proportional to 162.10, 243.06 and 81.01

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Solution

The fourth proportional to 162.10, 243.06 and 81.01 is: 121.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.10 : 243.06 = 81.01 : x
  2. Step 2: Convert to fraction form
    162.10/243.06 = 81.01/x
  3. Step 3: Cross multiply
    162.10x = 243.06 × 81.01
  4. Step 4: Simplify right side
    162.10x = 19,690.29
  5. Step 5: Solve for x
    x = 19,690.29/162.10
  6. Step 6: Final answer
    x = 121.47

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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.