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Finding the Fourth Proportional to 37.66, 56.50 and 24.85

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Solution

The fourth proportional to 37.66, 56.50 and 24.85 is: 37.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.66 : 56.50 = 24.85 : x
  2. Step 2: Convert to fraction form
    37.66/56.50 = 24.85/x
  3. Step 3: Cross multiply
    37.66x = 56.50 × 24.85
  4. Step 4: Simplify right side
    37.66x = 1,403.74
  5. Step 5: Solve for x
    x = 1,403.74/37.66
  6. Step 6: Final answer
    x = 37.28

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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.