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Finding the Fourth Proportional to 31.64, 47.42 and 23.10

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Solution

The fourth proportional to 31.64, 47.42 and 23.10 is: 34.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.64 : 47.42 = 23.10 : x
  2. Step 2: Convert to fraction form
    31.64/47.42 = 23.10/x
  3. Step 3: Cross multiply
    31.64x = 47.42 × 23.10
  4. Step 4: Simplify right side
    31.64x = 1,095.40
  5. Step 5: Solve for x
    x = 1,095.40/31.64
  6. Step 6: Final answer
    x = 34.62

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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.