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Finding the Fourth Proportional to 44.07, 65.99 and 24.78

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Solution

The fourth proportional to 44.07, 65.99 and 24.78 is: 37.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.07 : 65.99 = 24.78 : x
  2. Step 2: Convert to fraction form
    44.07/65.99 = 24.78/x
  3. Step 3: Cross multiply
    44.07x = 65.99 × 24.78
  4. Step 4: Simplify right side
    44.07x = 1,635.29
  5. Step 5: Solve for x
    x = 1,635.29/44.07
  6. Step 6: Final answer
    x = 37.11

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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.