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Finding the Fourth Proportional to 162.30, 243.39 and 64.75

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Solution

The fourth proportional to 162.30, 243.39 and 64.75 is: 97.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.30 : 243.39 = 64.75 : x
  2. Step 2: Convert to fraction form
    162.30/243.39 = 64.75/x
  3. Step 3: Cross multiply
    162.30x = 243.39 × 64.75
  4. Step 4: Simplify right side
    162.30x = 15,759.50
  5. Step 5: Solve for x
    x = 15,759.50/162.30
  6. Step 6: Final answer
    x = 97.10

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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.