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Finding the Fourth Proportional to 162.10, 243.03 and 75.31

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Solution

The fourth proportional to 162.10, 243.03 and 75.31 is: 112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.10 : 243.03 = 75.31 : x
  2. Step 2: Convert to fraction form
    162.10/243.03 = 75.31/x
  3. Step 3: Cross multiply
    162.10x = 243.03 × 75.31
  4. Step 4: Simplify right side
    162.10x = 18,303.21
  5. Step 5: Solve for x
    x = 18,303.21/162.10
  6. Step 6: Final answer
    x = 112.91

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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.