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Finding the Fourth Proportional to 43.21, 64.72 and 31.08

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Solution

The fourth proportional to 43.21, 64.72 and 31.08 is: 46.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.21 : 64.72 = 31.08 : x
  2. Step 2: Convert to fraction form
    43.21/64.72 = 31.08/x
  3. Step 3: Cross multiply
    43.21x = 64.72 × 31.08
  4. Step 4: Simplify right side
    43.21x = 2,011.50
  5. Step 5: Solve for x
    x = 2,011.50/43.21
  6. Step 6: Final answer
    x = 46.55

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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.