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Finding the Fourth Proportional to 75.42, 112.86 and 55.08

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Solution

The fourth proportional to 75.42, 112.86 and 55.08 is: 82.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.42 : 112.86 = 55.08 : x
  2. Step 2: Convert to fraction form
    75.42/112.86 = 55.08/x
  3. Step 3: Cross multiply
    75.42x = 112.86 × 55.08
  4. Step 4: Simplify right side
    75.42x = 6,216.33
  5. Step 5: Solve for x
    x = 6,216.33/75.42
  6. Step 6: Final answer
    x = 82.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.