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Finding the Fourth Proportional to 38.98, 53.31 and 38.35

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Solution

The fourth proportional to 38.98, 53.31 and 38.35 is: 52.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.98 : 53.31 = 38.35 : x
  2. Step 2: Convert to fraction form
    38.98/53.31 = 38.35/x
  3. Step 3: Cross multiply
    38.98x = 53.31 × 38.35
  4. Step 4: Simplify right side
    38.98x = 2,044.38
  5. Step 5: Solve for x
    x = 2,044.38/38.98
  6. Step 6: Final answer
    x = 52.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.