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Finding the Fourth Proportional to 31.66, 47.50 and 23.64

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Solution

The fourth proportional to 31.66, 47.50 and 23.64 is: 35.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.66 : 47.50 = 23.64 : x
  2. Step 2: Convert to fraction form
    31.66/47.50 = 23.64/x
  3. Step 3: Cross multiply
    31.66x = 47.50 × 23.64
  4. Step 4: Simplify right side
    31.66x = 1,123.02
  5. Step 5: Solve for x
    x = 1,123.02/31.66
  6. Step 6: Final answer
    x = 35.47

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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.