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Finding the Fourth Proportional to 162.33, 243.23 and 64.77

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Solution

The fourth proportional to 162.33, 243.23 and 64.77 is: 97.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.33 : 243.23 = 64.77 : x
  2. Step 2: Convert to fraction form
    162.33/243.23 = 64.77/x
  3. Step 3: Cross multiply
    162.33x = 243.23 × 64.77
  4. Step 4: Simplify right side
    162.33x = 15,754.01
  5. Step 5: Solve for x
    x = 15,754.01/162.33
  6. Step 6: Final answer
    x = 97.05

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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.