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Finding the Fourth Proportional to 30, 44.92 and 24.64

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Solution

The fourth proportional to 30, 44.92 and 24.64 is: 36.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30 : 44.92 = 24.64 : x
  2. Step 2: Convert to fraction form
    30/44.92 = 24.64/x
  3. Step 3: Cross multiply
    30x = 44.92 × 24.64
  4. Step 4: Simplify right side
    30x = 1,106.83
  5. Step 5: Solve for x
    x = 1,106.83/30
  6. Step 6: Final answer
    x = 36.89

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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.