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Finding the Fourth Proportional to 53.10, 79.71 and 27.42

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Solution

The fourth proportional to 53.10, 79.71 and 27.42 is: 41.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.10 : 79.71 = 27.42 : x
  2. Step 2: Convert to fraction form
    53.10/79.71 = 27.42/x
  3. Step 3: Cross multiply
    53.10x = 79.71 × 27.42
  4. Step 4: Simplify right side
    53.10x = 2,185.65
  5. Step 5: Solve for x
    x = 2,185.65/53.10
  6. Step 6: Final answer
    x = 41.16

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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.