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Finding the Fourth Proportional to 75.42, 104.08 and 40.92

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Solution

The fourth proportional to 75.42, 104.08 and 40.92 is: 56.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.42 : 104.08 = 40.92 : x
  2. Step 2: Convert to fraction form
    75.42/104.08 = 40.92/x
  3. Step 3: Cross multiply
    75.42x = 104.08 × 40.92
  4. Step 4: Simplify right side
    75.42x = 4,259.24
  5. Step 5: Solve for x
    x = 4,259.24/75.42
  6. Step 6: Final answer
    x = 56.47

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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.