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Finding the Fourth Proportional to 43.16, 64.69 and 31.10

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Solution

The fourth proportional to 43.16, 64.69 and 31.10 is: 46.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.16 : 64.69 = 31.10 : x
  2. Step 2: Convert to fraction form
    43.16/64.69 = 31.10/x
  3. Step 3: Cross multiply
    43.16x = 64.69 × 31.10
  4. Step 4: Simplify right side
    43.16x = 2,011.46
  5. Step 5: Solve for x
    x = 2,011.46/43.16
  6. Step 6: Final answer
    x = 46.61

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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.