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Finding the Fourth Proportional to 38.70, 58.40 and 37.36

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Solution

The fourth proportional to 38.70, 58.40 and 37.36 is: 56.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.70 : 58.40 = 37.36 : x
  2. Step 2: Convert to fraction form
    38.70/58.40 = 37.36/x
  3. Step 3: Cross multiply
    38.70x = 58.40 × 37.36
  4. Step 4: Simplify right side
    38.70x = 2,181.82
  5. Step 5: Solve for x
    x = 2,181.82/38.70
  6. Step 6: Final answer
    x = 56.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.