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Finding the Fourth Proportional to 74.64, 111.96 and 30.72

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Solution

The fourth proportional to 74.64, 111.96 and 30.72 is: 46.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.64 : 111.96 = 30.72 : x
  2. Step 2: Convert to fraction form
    74.64/111.96 = 30.72/x
  3. Step 3: Cross multiply
    74.64x = 111.96 × 30.72
  4. Step 4: Simplify right side
    74.64x = 3,439.41
  5. Step 5: Solve for x
    x = 3,439.41/74.64
  6. Step 6: Final answer
    x = 46.08

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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.