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Finding the Fourth Proportional to 162.13, 243.13 and 64.62

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Solution

The fourth proportional to 162.13, 243.13 and 64.62 is: 96.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.13 : 243.13 = 64.62 : x
  2. Step 2: Convert to fraction form
    162.13/243.13 = 64.62/x
  3. Step 3: Cross multiply
    162.13x = 243.13 × 64.62
  4. Step 4: Simplify right side
    162.13x = 15,710.74
  5. Step 5: Solve for x
    x = 15,710.74/162.13
  6. Step 6: Final answer
    x = 96.91

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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.