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Finding the Fourth Proportional to 34.60, 47.76 and 23.72

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Solution

The fourth proportional to 34.60, 47.76 and 23.72 is: 32.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.60 : 47.76 = 23.72 : x
  2. Step 2: Convert to fraction form
    34.60/47.76 = 23.72/x
  3. Step 3: Cross multiply
    34.60x = 47.76 × 23.72
  4. Step 4: Simplify right side
    34.60x = 1,132.87
  5. Step 5: Solve for x
    x = 1,132.87/34.60
  6. Step 6: Final answer
    x = 32.74

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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.