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Finding the Fourth Proportional to 75.42, 113.16 and 46.50

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Solution

The fourth proportional to 75.42, 113.16 and 46.50 is: 69.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.42 : 113.16 = 46.50 : x
  2. Step 2: Convert to fraction form
    75.42/113.16 = 46.50/x
  3. Step 3: Cross multiply
    75.42x = 113.16 × 46.50
  4. Step 4: Simplify right side
    75.42x = 5,261.94
  5. Step 5: Solve for x
    x = 5,261.94/75.42
  6. Step 6: Final answer
    x = 69.77

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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.