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Finding the Fourth Proportional to 38.59, 53.18 and 29.83

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Solution

The fourth proportional to 38.59, 53.18 and 29.83 is: 41.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.59 : 53.18 = 29.83 : x
  2. Step 2: Convert to fraction form
    38.59/53.18 = 29.83/x
  3. Step 3: Cross multiply
    38.59x = 53.18 × 29.83
  4. Step 4: Simplify right side
    38.59x = 1,585.94
  5. Step 5: Solve for x
    x = 1,585.94/38.59
  6. Step 6: Final answer
    x = 41.10

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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.