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Finding the Fourth Proportional to 43.05, 64.65 and 31.65

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Solution

The fourth proportional to 43.05, 64.65 and 31.65 is: 47.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.05 : 64.65 = 31.65 : x
  2. Step 2: Convert to fraction form
    43.05/64.65 = 31.65/x
  3. Step 3: Cross multiply
    43.05x = 64.65 × 31.65
  4. Step 4: Simplify right side
    43.05x = 2,046.17
  5. Step 5: Solve for x
    x = 2,046.17/43.05
  6. Step 6: Final answer
    x = 47.53

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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.