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Finding the Fourth Proportional to 75.42, 112.38 and 67.35

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Solution

The fourth proportional to 75.42, 112.38 and 67.35 is: 100.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.42 : 112.38 = 67.35 : x
  2. Step 2: Convert to fraction form
    75.42/112.38 = 67.35/x
  3. Step 3: Cross multiply
    75.42x = 112.38 × 67.35
  4. Step 4: Simplify right side
    75.42x = 7,568.40
  5. Step 5: Solve for x
    x = 7,568.40/75.42
  6. Step 6: Final answer
    x = 100.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.