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Finding the Fourth Proportional to 31.66, 43.63 and 26.46

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Solution

The fourth proportional to 31.66, 43.63 and 26.46 is: 36.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.66 : 43.63 = 26.46 : x
  2. Step 2: Convert to fraction form
    31.66/43.63 = 26.46/x
  3. Step 3: Cross multiply
    31.66x = 43.63 × 26.46
  4. Step 4: Simplify right side
    31.66x = 1,154.38
  5. Step 5: Solve for x
    x = 1,154.38/31.66
  6. Step 6: Final answer
    x = 36.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.