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Finding the Fourth Proportional to 37.78, 52 and 29.58

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Solution

The fourth proportional to 37.78, 52 and 29.58 is: 40.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.78 : 52 = 29.58 : x
  2. Step 2: Convert to fraction form
    37.78/52 = 29.58/x
  3. Step 3: Cross multiply
    37.78x = 52 × 29.58
  4. Step 4: Simplify right side
    37.78x = 1,538.16
  5. Step 5: Solve for x
    x = 1,538.16/37.78
  6. Step 6: Final answer
    x = 40.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.