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Finding the Fourth Proportional to 38.53, 53.13 and 31.24

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Solution

The fourth proportional to 38.53, 53.13 and 31.24 is: 43.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.53 : 53.13 = 31.24 : x
  2. Step 2: Convert to fraction form
    38.53/53.13 = 31.24/x
  3. Step 3: Cross multiply
    38.53x = 53.13 × 31.24
  4. Step 4: Simplify right side
    38.53x = 1,659.78
  5. Step 5: Solve for x
    x = 1,659.78/38.53
  6. Step 6: Final answer
    x = 43.08

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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.