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Finding the Fourth Proportional to 37.32, 51.47 and 24.40

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Solution

The fourth proportional to 37.32, 51.47 and 24.40 is: 33.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.32 : 51.47 = 24.40 : x
  2. Step 2: Convert to fraction form
    37.32/51.47 = 24.40/x
  3. Step 3: Cross multiply
    37.32x = 51.47 × 24.40
  4. Step 4: Simplify right side
    37.32x = 1,255.87
  5. Step 5: Solve for x
    x = 1,255.87/37.32
  6. Step 6: Final answer
    x = 33.65

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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.