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Finding the Fourth Proportional to 38.19, 56.64 and 37.65

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Solution

The fourth proportional to 38.19, 56.64 and 37.65 is: 55.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.19 : 56.64 = 37.65 : x
  2. Step 2: Convert to fraction form
    38.19/56.64 = 37.65/x
  3. Step 3: Cross multiply
    38.19x = 56.64 × 37.65
  4. Step 4: Simplify right side
    38.19x = 2,132.50
  5. Step 5: Solve for x
    x = 2,132.50/38.19
  6. Step 6: Final answer
    x = 55.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.