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Finding the Fourth Proportional to 39.61, 54.65 and 24.07

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Solution

The fourth proportional to 39.61, 54.65 and 24.07 is: 33.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.61 : 54.65 = 24.07 : x
  2. Step 2: Convert to fraction form
    39.61/54.65 = 24.07/x
  3. Step 3: Cross multiply
    39.61x = 54.65 × 24.07
  4. Step 4: Simplify right side
    39.61x = 1,315.31
  5. Step 5: Solve for x
    x = 1,315.31/39.61
  6. Step 6: Final answer
    x = 33.21

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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.