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Finding the Fourth Proportional to 162.02, 243.01 and 46.46

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Solution

The fourth proportional to 162.02, 243.01 and 46.46 is: 69.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.02 : 243.01 = 46.46 : x
  2. Step 2: Convert to fraction form
    162.02/243.01 = 46.46/x
  3. Step 3: Cross multiply
    162.02x = 243.01 × 46.46
  4. Step 4: Simplify right side
    162.02x = 11,290.24
  5. Step 5: Solve for x
    x = 11,290.24/162.02
  6. Step 6: Final answer
    x = 69.68

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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.