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Finding the Fourth Proportional to 38.88, 53.66 and 22.50

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Solution

The fourth proportional to 38.88, 53.66 and 22.50 is: 31.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.88 : 53.66 = 22.50 : x
  2. Step 2: Convert to fraction form
    38.88/53.66 = 22.50/x
  3. Step 3: Cross multiply
    38.88x = 53.66 × 22.50
  4. Step 4: Simplify right side
    38.88x = 1,207.28
  5. Step 5: Solve for x
    x = 1,207.28/38.88
  6. Step 6: Final answer
    x = 31.05

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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.