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Finding the Fourth Proportional to 38.40, 57.66 and 37.32

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Solution

The fourth proportional to 38.40, 57.66 and 37.32 is: 56.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.40 : 57.66 = 37.32 : x
  2. Step 2: Convert to fraction form
    38.40/57.66 = 37.32/x
  3. Step 3: Cross multiply
    38.40x = 57.66 × 37.32
  4. Step 4: Simplify right side
    38.40x = 2,151.87
  5. Step 5: Solve for x
    x = 2,151.87/38.40
  6. Step 6: Final answer
    x = 56.04

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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.