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Finding the Fourth Proportional to 38.98, 53.76 and 26.04

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Solution

The fourth proportional to 38.98, 53.76 and 26.04 is: 35.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.98 : 53.76 = 26.04 : x
  2. Step 2: Convert to fraction form
    38.98/53.76 = 26.04/x
  3. Step 3: Cross multiply
    38.98x = 53.76 × 26.04
  4. Step 4: Simplify right side
    38.98x = 1,399.91
  5. Step 5: Solve for x
    x = 1,399.91/38.98
  6. Step 6: Final answer
    x = 35.91

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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.