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Finding the Fourth Proportional to 43.06, 64.50 and 31.06

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Solution

The fourth proportional to 43.06, 64.50 and 31.06 is: 46.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.06 : 64.50 = 31.06 : x
  2. Step 2: Convert to fraction form
    43.06/64.50 = 31.06/x
  3. Step 3: Cross multiply
    43.06x = 64.50 × 31.06
  4. Step 4: Simplify right side
    43.06x = 2,003.37
  5. Step 5: Solve for x
    x = 2,003.37/43.06
  6. Step 6: Final answer
    x = 46.53

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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.