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Finding the Fourth Proportional to 37.47, 56.19 and 19.42

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Solution

The fourth proportional to 37.47, 56.19 and 19.42 is: 29.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.47 : 56.19 = 19.42 : x
  2. Step 2: Convert to fraction form
    37.47/56.19 = 19.42/x
  3. Step 3: Cross multiply
    37.47x = 56.19 × 19.42
  4. Step 4: Simplify right side
    37.47x = 1,090.93
  5. Step 5: Solve for x
    x = 1,090.93/37.47
  6. Step 6: Final answer
    x = 29.12

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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.