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Finding the Fourth Proportional to 37.42, 56.09 and 14.58

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Solution

The fourth proportional to 37.42, 56.09 and 14.58 is: 21.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.42 : 56.09 = 14.58 : x
  2. Step 2: Convert to fraction form
    37.42/56.09 = 14.58/x
  3. Step 3: Cross multiply
    37.42x = 56.09 × 14.58
  4. Step 4: Simplify right side
    37.42x = 817.72
  5. Step 5: Solve for x
    x = 817.72/37.42
  6. Step 6: Final answer
    x = 21.85

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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.