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Finding the Fourth Proportional to 75.64, 104.32 and 53.88

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Solution

The fourth proportional to 75.64, 104.32 and 53.88 is: 74.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.64 : 104.32 = 53.88 : x
  2. Step 2: Convert to fraction form
    75.64/104.32 = 53.88/x
  3. Step 3: Cross multiply
    75.64x = 104.32 × 53.88
  4. Step 4: Simplify right side
    75.64x = 5,620.76
  5. Step 5: Solve for x
    x = 5,620.76/75.64
  6. Step 6: Final answer
    x = 74.31

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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.