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Finding the Fourth Proportional to 38.90, 53.64 and 38.06

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Solution

The fourth proportional to 38.90, 53.64 and 38.06 is: 52.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.90 : 53.64 = 38.06 : x
  2. Step 2: Convert to fraction form
    38.90/53.64 = 38.06/x
  3. Step 3: Cross multiply
    38.90x = 53.64 × 38.06
  4. Step 4: Simplify right side
    38.90x = 2,041.54
  5. Step 5: Solve for x
    x = 2,041.54/38.90
  6. Step 6: Final answer
    x = 52.48

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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.