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Finding the Fourth Proportional to 38.51, 53.11 and 24.71

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Solution

The fourth proportional to 38.51, 53.11 and 24.71 is: 34.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.51 : 53.11 = 24.71 : x
  2. Step 2: Convert to fraction form
    38.51/53.11 = 24.71/x
  3. Step 3: Cross multiply
    38.51x = 53.11 × 24.71
  4. Step 4: Simplify right side
    38.51x = 1,312.41
  5. Step 5: Solve for x
    x = 1,312.41/38.51
  6. Step 6: Final answer
    x = 34.08

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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.